Question

Factor completely:
x, squared, left parenthesis, x, plus, 3, right parenthesis, minus, x, left parenthesis, x, plus, 3, right parenthesis, minus, 12, left parenthesis, x, plus, 3, right parenthesis
x
2
(x+3)−x(x+3)−12(x+3)

Answer 1

Factor out the common factor (x+3):

x^2(x+3) − x(x+3) − 12(x+3) = (x+3)(x^2 − x − 12).

Factor the quadratic x^2 − x − 12 = (x−4)(x+3), so

Final factorization: (x+3)(x−4)(x+3) = (x+3)^2(x−4).