How do you factor x^2(x+2)-(x+2) ?

Question

Factor in quadratic form.

Answer 1

     x²(x + 2) - (x + 2)

Notice that there is a greatest common factor (gcf) that you can factor out of the entire equation, that being: x + 2

    x²(x + 2) - 1(x + 2)    ==>    (x + 2) ( x²(1) - 1(1) )    ==>    (x + 2)(x² - 1) 

Thus,     x²(x + 2) - (x + 2)  =  (x² - 1)(x + 2) 

Answer 2

x²(x+2)-(x+2)

= (x+2)(x²-1), factor out x+2 first

= (x+2)(x+1)(x-1), since x²-1 = (x+1)(x-1)