Answer:
6x³ - 8x² - 8x - 10
Step-by-step explanation:
When multiplying polynomials, you need to make sure to distribute each term from the first polynomial to every term in the second polynomial. In this case, there is a binomial multiplied by a trinomial. Each term in the binomial must be multiplied by each term in the trinomail and then simplified by combining like terms:
(2x + 2)(3x² + x - 5)
2x(3x²) + 2x(x) - 2x(5) + 2(3x²) + 2(x) - 2(5)
= 6x³ + 2x² - 10x + 6x² + 2x - 10
= 6x³ + 8x² - 8x -10