Factorize :
ab(x2 + y2) - xy(a2 + b2)
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Given,
⇒ ab(x2 + y2) - xy(a2 + b2)
⇒ abx2 + aby2 - xya2 - xyb2
⇒ abx2 - xya2 - xyb2 + aby2
⇒ 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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