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Original
2026-01-01
Modified
2026-02-28
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<p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number.</p>
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<p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number.</p>
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<p>The formula is expanded as:a³ + 3a²b + 3ab² + b³</p>
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<p>The formula is expanded as:a³ + 3a²b + 3ab² + b³</p>
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<h3>Step 1:Split the number 1056 into two parts, such as 1000 and 56. </h3>
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<h3>Step 1:Split the number 1056 into two parts, such as 1000 and 56. </h3>
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<h3>Let a = 1000 and b = 56, so a + b = 1056</h3>
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<h3>Let a = 1000 and b = 56, so a + b = 1056</h3>
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<h3>Step 2:Now, apply the formula: </h3>
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<h3>Step 2:Now, apply the formula: </h3>
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<h3>(a + b)³ = a³ + 3a²b + 3ab² + b³</h3>
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<h3>(a + b)³ = a³ + 3a²b + 3ab² + b³</h3>
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<h3>Step 3:Calculate each<a>term</a>:</h3>
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<h3>Step 3:Calculate each<a>term</a>:</h3>
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<p>a³ = 1000³ = 1,000,000,000</p>
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<p>a³ = 1000³ = 1,000,000,000</p>
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<p>3a²b = 3 × 1000² × 56 = 3 × 1,000,000 × 56 = 168,000,000</p>
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<p>3a²b = 3 × 1000² × 56 = 3 × 1,000,000 × 56 = 168,000,000</p>
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<p>3ab² = 3 × 1000 × 56² = 3 × 1000 × 3136 = 9,408,000</p>
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<p>3ab² = 3 × 1000 × 56² = 3 × 1000 × 3136 = 9,408,000</p>
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<p>b³ = 56³ = 175,616</p>
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<p>b³ = 56³ = 175,616</p>
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<h3>Step 4: Add all the terms together: (1000 + 56)³ = 1000³ + 3 × 1000² × 56 + 3 × 1000 × 56² + 56³</h3>
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<h3>Step 4: Add all the terms together: (1000 + 56)³ = 1000³ + 3 × 1000² × 56 + 3 × 1000 × 56² + 56³</h3>
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<h3>1056³ = 1,000,000,000 + 168,000,000 + 9,408,000 + 175,616</h3>
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<h3>1056³ = 1,000,000,000 + 168,000,000 + 9,408,000 + 175,616</h3>
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<h3>1056³ = 1,178,095,616</h3>
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<h3>1056³ = 1,178,095,616</h3>
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<h3>Step 5:Hence, the cube of 1056 is 1,178,095,616.</h3>
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<h3>Step 5:Hence, the cube of 1056 is 1,178,095,616.</h3>
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