Question

factorise: ab(x^2+y^2)-xy(a^2+b^2)
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Answer 1

Step-by-step explanation:

ab(x2 + y2) - xy(a2 + b2)

By suitably rearranging the terms, we have;

= abx2 + aby2 - a2xy - b2xy

= abx2 - a2xy - b2xy + aby2

= ax(bx - ay) - by(bx - ay)

= (bx - ay) (ax - by)

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