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