Question

X⁴-(x+2)⁴ factorize it

Answer 1

Answer:

(x²+x+2)(x+1)(x-2)

Step-by-step explanation:

$x^4-(x+2)^2\\={x^2}^2-(x+2)^2\\=(x^2+x+2)(x^2-x-2)\\=(x^2+x+2)(x^2-2x+x-2)\\=(x^2+x+2)[x(x-2)+(x-2)]\\=(x^2+x+2)(x+1)(x-2)$