Question

Evaluate the following without finding the actual cubes 113 – 103​

Answer 1

Answer:

331

Step-by-step explanation:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

a = 11

b = 10

Therefore, 11^3 - 10^3 = (11 - 10)(11^2 + 11 x 10 + 10^2)

= 1 (121 + 110 + 100)

= 1 (331)

= 331

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