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Question

Factorise
a42a2b2+b4

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Solution

a42a2b2+b4=a4a2b2a2b2+b4=a2(a2b2)b2(a2b2)=(a2b2)2
As we know that
x2y2=(x+y)(xy)
a42a2b2+b4=(a2b2)2=(ab)2(a+b)2

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