Question

factorise ab^2(x^2+y^2) +xy(a^2+b^2) ​

Answer 1

Answer:

Ab ( x^2 + y^2) - xy ( a^2 + b^2)

= abx^2 + aby^2 - xya^2 - xyb^2

= abx^2 - xya^2 + aby^2 - xyb^2

= ax ( bx - ay) + by ( ay - bx)

= ax ( bx - ay) - by ( bx - ay)

= (ax - by) (bx - ay)

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