Question

Factorise the following:
x(x+y)^3-3x^2y(x+y)​

Answer 1

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

Hope it's helpful to you