Q24 of 274 Page 62

Factorize:

ab(x2 + y2) – xy(a2 + b2)

We have,



At first we’ll take common from the expression


= abx2 + aby2 – a2xy – b2xy


= abx2 – a2xy + aby2 – b2xy


= ax (bx – ay) + by (ay – bx)


= (bx – ay) (ax – by)


Hence,


The given expression can be factorized as:



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