Question

factorize x(x-y2)+3x2y(x-y)

Answer 1

$x(x - y {}^{2} ) + 3x {}^{2} y(x - y) \\ = x {}^{2} - xy {}^{2} + 3x {}^{3} y - 3x {}^{2} y {}^{2} \\ = 3x {}^{3} y - {x}^{2} + 3x {}^{2}y {}^{2} - xy {}^{2} \\ = x {}^{2} (3xy - 1) + x y {}^{2} (3xy - 1) \\ = (3xy - 1)( {x}^{2} + xy {}^{2} )$