# $$(x - 5)({x^2} + 7x + 2) = ?$$

$$x^{3}+2 x^{2}-33 x-10$$

Explanation

To solve this problem multiply each variable in the binomial with each variable in the trinomial:
$$(x - 5)({x^2} + 7x + 2) =$$
$$(x \times x^2) + (x \times 7x) + (x \times 2) + (-5 \times x^2) + (-5 \times 7x) + (-5 \times 2)=$$
$$(x^3 + 7x^2 + 2x) +(-5x^2 - 35x - 10)=$$
$$x^3 + 2x^2 -33x-10$$