Cube of 1373
2026-02-28 09:00 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1373

The formula (a+b)3(a + b)^3(a+b)3 is a binomial formula for finding the cube of a number. It expands as:

(a+b)3=a3+3a2b+3ab2+b3(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3(a+b)3=a3+3a2b+3ab2+b3

Step 1: Split the number 1373 into two parts:
a=1300a = 1300a=1300 and b=73b = 73b=73, so a+b=1373a + b = 1373a+b=1373.

Step 2: Now, apply the formula:

(a+b)3=a3+3a2b+3ab2+b3(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3(a+b)3=a3+3a2b+3ab2+b3

Step 3: Calculate each term:

a³ = 1300³ = 2,197,000,000
3a²b = 3 × 1300² × 73 = 370,530,000
3ab² = 3 × 1300 × 73² = 20,803,500
b³ = 73³ = 389,017

Step 4: Add all the terms together:

(1300 + 73)³ = 1300³ + 3 × 1300² × 73 + 3 × 1300 × 73² + 73³
= 2,197,000,000 + 370,530,000 + 20,803,500 + 389,017
= 2,586,967,717

So:
1373³ = 2,586,967,717

Step 5:
Hence, the cube of 1373 is 2,586,967,717.