Question

factorise x (x + 2) ( X + 4)+ 4 x + 8​

Answer 1

Answer:

= (x – 2)3

Explanation:

x(x+2)(x+4)+4(x+-2)

taking (x-2 common in both terms

=(x+2){x(x-4)+4)

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

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

=(x -2){x(x-2)-2(x-2)}

=(x -2){(x+2)(x- 2)}

=(x - 2)(2 - x)(2- x)

= (x – 2)3