Question

Factorise :
(a) ab (x^2+y^2) - xy (a^2+b^2)

Answer 1

Hey mate!!


HERE IS THE ANSWER

$ab( {x}^{2} + {y}^{2} ) - xy( {a}^{2} + {b}^{2} ) \\ = ab {x}^{2} + ab {y}^{2} - {a}^{2} xy - {b}^{2} xy \\ = ab {x}^{2} - {a}^{2} xy + ab {y}^{2} - {b}^{2} xy \\ = ax(bx - ay) + by(ay - bx) \\ = ax(bx - ay) - by( - ay + bx) \\ = (ax - by)(bx - ay)$
Hope it helps to you.