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2026-01-01
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2026-02-28
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<p>132 Learners</p>
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<p>166 Learners</p>
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<p>Last updated on<strong>September 30, 2025</strong></p>
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<p>Last updated on<strong>September 30, 2025</strong></p>
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<p>In algebra, expanding expressions using formulas helps simplify calculations. One such expression is (a-b-c)², which can be expanded to simplify algebraic expressions. In this topic, we will learn the formula for (a-b-c)².</p>
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<p>In algebra, expanding expressions using formulas helps simplify calculations. One such expression is (a-b-c)², which can be expanded to simplify algebraic expressions. In this topic, we will learn the formula for (a-b-c)².</p>
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<h2>Expansion Formula for (a-b-c)²</h2>
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<h2>Expansion Formula for (a-b-c)²</h2>
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<h2>Math Formula for Expanding (a-b-c)²</h2>
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<h2>Math Formula for Expanding (a-b-c)²</h2>
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<p>The formula for expanding (a-b-c)² is derived from the<a>square</a>of a<a>trinomial</a>. It is calculated using the formula:</p>
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<p>The formula for expanding (a-b-c)² is derived from the<a>square</a>of a<a>trinomial</a>. It is calculated using the formula:</p>
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<p>(a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc</p>
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<p>(a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc</p>
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<h2>Importance of the Formula for (a-b-c)²</h2>
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<h2>Importance of the Formula for (a-b-c)²</h2>
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<h3>Explore Our Programs</h3>
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<h3>Explore Our Programs</h3>
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<p>No Courses Available</p>
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<h2>Tips and Tricks to Memorize the Expansion Formula for (a-b-c)²</h2>
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<h2>Tips and Tricks to Memorize the Expansion Formula for (a-b-c)²</h2>
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<p>Students might find it tricky to remember the expansion formula for (a-b-c)². Here are some tips to help memorize it: </p>
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<p>Students might find it tricky to remember the expansion formula for (a-b-c)². Here are some tips to help memorize it: </p>
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<ul><li>Break down the formula into parts: (a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc </li>
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<ul><li>Break down the formula into parts: (a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc </li>
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</ul><ul><li>Practice expanding similar expressions to reinforce memory </li>
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</ul><ul><li>Practice expanding similar expressions to reinforce memory </li>
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</ul><ul><li>Use mnemonics like "square each<a>term</a>, double the products, and add them up"</li>
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</ul><ul><li>Use mnemonics like "square each<a>term</a>, double the products, and add them up"</li>
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</ul><h2>Real-Life Applications of Expanding (a-b-c)²</h2>
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</ul><h2>Real-Life Applications of Expanding (a-b-c)²</h2>
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<p>Expanding expressions like (a-b-c)² has practical applications in various fields. Here are some examples: </p>
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<p>Expanding expressions like (a-b-c)² has practical applications in various fields. Here are some examples: </p>
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<ul><li>In physics, to calculate the change in energy or force in systems </li>
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<ul><li>In physics, to calculate the change in energy or force in systems </li>
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</ul><ul><li>In engineering, to model and solve structural problems </li>
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</ul><ul><li>In engineering, to model and solve structural problems </li>
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</ul><ul><li>In computer science, to optimize algorithms involving polynomial calculations</li>
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</ul><ul><li>In computer science, to optimize algorithms involving polynomial calculations</li>
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</ul><h2>Common Mistakes and How to Avoid Them While Using (a-b-c)² Formula</h2>
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</ul><h2>Common Mistakes and How to Avoid Them While Using (a-b-c)² Formula</h2>
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<p>Students often make errors when expanding (a-b-c)². Here are some common mistakes and ways to avoid them:</p>
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<p>Students often make errors when expanding (a-b-c)². Here are some common mistakes and ways to avoid them:</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Expand the expression (x-2-y)².</p>
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<p>Expand the expression (x-2-y)².</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>x² - 2x(2) - 2xy + (2)² + y² + 2(2)y</p>
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<p>x² - 2x(2) - 2xy + (2)² + y² + 2(2)y</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, apply the formula (a-b-c)²: = x² - 2(x)(2) - 2(x)(y) + (2)² + y² + 2(2)(y) = x² - 4x - 2xy + 4 + y² + 4y</p>
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<p>First, apply the formula (a-b-c)²: = x² - 2(x)(2) - 2(x)(y) + (2)² + y² + 2(2)(y) = x² - 4x - 2xy + 4 + y² + 4y</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Expand the expression (3-a-b)².</p>
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<p>Expand the expression (3-a-b)².</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>9 - 2(3)(a) - 2(3)(b) + a² + b² + 2(a)(b)</p>
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<p>9 - 2(3)(a) - 2(3)(b) + a² + b² + 2(a)(b)</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, apply the formula (a-b-c)²: = (3)² - 2(3)(a) - 2(3)(b) + a² + b² + 2(a)(b) = 9 - 6a - 6b + a² + b² + 2ab</p>
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<p>First, apply the formula (a-b-c)²: = (3)² - 2(3)(a) - 2(3)(b) + a² + b² + 2(a)(b) = 9 - 6a - 6b + a² + b² + 2ab</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Expand the expression (5-m-n)².</p>
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<p>Expand the expression (5-m-n)².</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>25 - 10m - 10n + m² + n² + 2mn</p>
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<p>25 - 10m - 10n + m² + n² + 2mn</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>First, apply the formula (a-b-c)²: = (5)² - 2(5)(m) - 2(5)(n) + m² + n² + 2(m)(n) = 25 - 10m - 10n + m² + n² + 2mn</p>
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<p>First, apply the formula (a-b-c)²: = (5)² - 2(5)(m) - 2(5)(n) + m² + n² + 2(m)(n) = 25 - 10m - 10n + m² + n² + 2mn</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on (a-b-c)² Formula</h2>
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<h2>FAQs on (a-b-c)² Formula</h2>
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<h3>1.What is the formula for expanding (a-b-c)²?</h3>
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<h3>1.What is the formula for expanding (a-b-c)²?</h3>
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<p>The formula to expand (a-b-c)² is: (a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc</p>
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<p>The formula to expand (a-b-c)² is: (a-b-c)² = a² - 2ab - 2ac + b² + c² + 2bc</p>
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<h3>2.Why is the (a-b-c)² formula important?</h3>
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<h3>2.Why is the (a-b-c)² formula important?</h3>
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<p>The formula helps simplify algebraic expressions, solve<a>quadratic equations</a>, and perform polynomial operations.</p>
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<p>The formula helps simplify algebraic expressions, solve<a>quadratic equations</a>, and perform polynomial operations.</p>
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<h3>3.How can I avoid mistakes when using (a-b-c)² formula?</h3>
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<h3>3.How can I avoid mistakes when using (a-b-c)² formula?</h3>
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<p>To avoid mistakes, ensure each term is squared, the correct signs are used, products are doubled, and expand without skipping steps.</p>
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<p>To avoid mistakes, ensure each term is squared, the correct signs are used, products are doubled, and expand without skipping steps.</p>
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<h3>4.What are some real-life applications of expanding (a-b-c)²?</h3>
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<h3>4.What are some real-life applications of expanding (a-b-c)²?</h3>
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<p>This formula is used in physics for energy calculations, engineering for structural modeling, and computer science for algorithm optimization.</p>
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<p>This formula is used in physics for energy calculations, engineering for structural modeling, and computer science for algorithm optimization.</p>
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<h2>Glossary for (a-b-c)² Formula</h2>
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<h2>Glossary for (a-b-c)² Formula</h2>
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<ul><li><strong>Square of a trinomial:</strong>A mathematical expression involving the square of three terms, expanded using specific formulas. </li>
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<ul><li><strong>Square of a trinomial:</strong>A mathematical expression involving the square of three terms, expanded using specific formulas. </li>
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</ul><ul><li><strong>Expansion:</strong>The process of expressing a mathematical entity as a<a>sum</a>or an extended form. </li>
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</ul><ul><li><strong>Expansion:</strong>The process of expressing a mathematical entity as a<a>sum</a>or an extended form. </li>
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</ul><ul><li><strong>Algebraic identity:</strong>An<a>equation</a>true for all values of its<a>variables</a>, used to simplify expressions. </li>
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</ul><ul><li><strong>Algebraic identity:</strong>An<a>equation</a>true for all values of its<a>variables</a>, used to simplify expressions. </li>
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</ul><ul><li><strong>Polynomial:</strong>An expression consisting of variables and coefficients, involving operations of addition, subtraction, and<a>multiplication</a>. </li>
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</ul><ul><li><strong>Polynomial:</strong>An expression consisting of variables and coefficients, involving operations of addition, subtraction, and<a>multiplication</a>. </li>
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</ul><ul><li><strong>Quadratic equation:</strong>A<a>polynomial equation</a>of the second degree, often solved using various algebraic methods.</li>
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</ul><ul><li><strong>Quadratic equation:</strong>A<a>polynomial equation</a>of the second degree, often solved using various algebraic methods.</li>
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</ul><h2>Jaskaran Singh Saluja</h2>
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</ul><h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>