Question

Factorise.
ab (x²+y²) - xy (a²+b²)​

Answer 1

Answer:

(bx-ay)(bx-ay)

Step-by-step explanation:

ab (x²+y²) - xy (a²+b²)

= abx²+aby²-xya²-xyb²

= abx²-xya²+aby²-xyb²

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

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

= (bx-ay)(bx-ay)

Therefore,

ab (x²+y²) - xy (a²+b²)

= (bx-ay)(bx-ay)

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