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Question

Factorize each of the following expression:
ab(x2 + 1) + x(a2 + b2)

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Solution

ab(x2+1)+x(a2+b2)=abx2+ab+a2x+b2x =(abx2+a2x)+(b2x+ab) [Regrouping the expressions] =ax(bx+a)+b(bx+a) =(ax+b)(bx+a) [Taking (bx+a) as the common factor]

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