Question

find the product.
$(x + 3)(x^2 - 4x + 4) =$

Explanation:

Step1: Distribute $x$ to the trinomial

$x(x^2 - 4x + 4) = x^3 - 4x^2 + 4x$

Step2: Distribute $3$ to the trinomial

$3(x^2 - 4x + 4) = 3x^2 - 12x + 12$

Step3: Combine the two results

$(x^3 - 4x^2 + 4x) + (3x^2 - 12x + 12)$

Step4: Combine like terms

$x^3 + (-4x^2 + 3x^2) + (4x - 12x) + 12 = x^3 - x^2 - 8x + 12$

Answer:

$x^3 - x^2 - 8x + 12$