Mathematics
Factorise :
ab(x2 + y2) - xy(a2 + b2)
Factorisation
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Answer
ab(x2 + y2) - xy(a2 + b2)
= abx2 + aby2 - xya2 - xyb2
= (abx2 - xya2) + (aby2 - xyb2)
= (abx2 - a2xy) + (aby2 - b2xy)
= ax(bx - ay) + by(ay - bx)
= ax(bx - ay) - by(bx - ay)
= (bx - ay)(ax - by)
Hence,ab(x2 + y2) - xy(a2 + b2) = (bx - ay)(ax - by)
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