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Question

Accepted Answer

Given expression:

((453^3 - 383^3) / (453×383 + 383^2 + 453^2))

Step 1: Recognize the numerator as a difference of cubes:

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

Here, a = 453 and b = 383.

So numerator = (453 - 383)(453^2 + 453×383 + 383^2)

Step 2: The denominator is (453×383 + 383^2 + 453^2), which is the same as the second factor in the numerator.

Step 3: Substitute numerator and denominator:

= (453 - 383)(453^2 + 453×383 + 383^2) / (453×383 + 383^2 + 453^2)

= (453 - 383) × 1

= 70

Therefore, the value of the expression is 70.

Answer

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