Q. 325.0( 4 Votes )

Factorize:

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

Answer :

We have,



At first, we’ll take common from the expression


= abx2 + ab + a2x + b2x


= abx2 + a2x + ab + b2x


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


= (bx + a) (ax + b)


Hence,


The given expression can be factorized as:



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