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Simplify: (a - b)3 - (a3 - b3) -

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Question

Simplify: (a - b)3 - (a3 - b3)

Sum

Solution

(a - b)3 - (a3 - b3)

= a3 - 3a2b + 3ab2 - b3 - a3 + b3

= 3a2b + 3ab2.

shaalaa.com
Factorisation using Identity a3 - b3 = (a - b)(a2 + ab + b2)
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