Question

resolve into factors
(x^2 + 4x)^2 + 4x^2 - 2x^2y + 16x - 8xy​

Answer 1

Step-by-step explanation:

${( {x}^{2} + 4x)}^{2} + 4 {x}^{2} - 2 {x}^{2} y + 16x - 8xy$

$= {( {x}^{2} + 4x )}^{2} + (4 {x}^{2} + 16x) - (2 {x}^{2} y + 8xy)$

$= {x}^{2} {( x + 4)}^{2} + 4x(x+ 4) - 2xy( x + 4)$

$= (x + 4)( {x}^{2} .(x + 4) + 4x - 2xy)$

$= (x + 4)( {x}^{3} + 4 {x}^{2} + 4x - 2xy)$