Question

factorise

ab (x2+y2)-xy (a2+b2)​

Answer 1

Step-by-step explanation:

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)