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Question

Factorise:
ab(x2+1)+x(a2+b2)


Solution

ab(x2+1)+x(a2+b2)

= abx2+ab+a2x+b2x

= abx2+a2x+ab+b2x

= ax(bx+a)+b(bx+a)

= (bx+a)(ax+b)

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