Question

Factorise the following (a^2+b^2)xy-ab(x^2+y^2)​

Answer 1

Step-by-step explanation:

$({a}^{2} + {b}^{2} )xy - ab( {x}^{2} + {y}^{2} ) \\ \\ = {a}^{2} xy + {b}^{2} xy - ab {x}^{2} - ab {y}^{2} \\ \\ = {a}^{2} xy - ab {x}^{2} - ab {y}^{2} + {b}^{2} xy \\ \\ = ax(ay - bx) - by(ay - bx) \\ \\ = (ax - by)(ay - bx)$