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Question
factorise : ab(x2 + y2) - xy (a2 + b2)
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Solution
ab(x2 + y2) - xy (a2 + b2)
= abx2 + aby2 - a2xy - b2xy
= abx2 - a2xy + aby2 - b2xy
= abx2 - a2xy - b2xy + aby2
= ax (bx - ay) - by (bx - ay)
= (bx - ay)(ax - by)
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