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Question

Simplify:
2(a2+1a2)(a1a)7.

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Solution

Now,
2(a2+1a2)(a1a)7
=2(a1a)2+4(a1a)7 [ Since (a2+b2)=(ab)2+2ab]
=2(a1a)2(a1a)3
=2(a1a)23(a1a)+2(a1a)3
=(2a2a3)(a1a+1)

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