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Question

Evaluate:
(a2+b2)(a+b)(ab), using the result of (a+b)(ab)

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Solution

(a2+b2)(a+b)(ab)
We know that (a+b)(ab)=a2b2
So,
Substituting the result we get =(a2+b2) (a2b2)
It can be written as =a2(a2b2) + b2(a2b2)
So we get =a4a2b2+a2b2b4
=a4b4

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