Mathematics
Factorise the following:
ab(x2 + y2) - xy(a2 + b2)
Factorisation
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Answer
ab(x2 + y2) - xy(a2 + b2)
= abx2 + aby2 - xya2 - xyb2
= abx2 - xyb2 - xya2 + aby2
= bx(ax - by) - ay(ax - by)
= (bx - ay)(ax - by).
Hence, ab(x2 + y2) - xy(a2 + b2) = (bx - ay)(ax - by).
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