Question

Find the product. state your answer in standard form

(x+7)(x squared + 6x - 8)

Answer 1

x^3+13x^2-34x-56

Explanation:

x(x^2+6x-8)+7(x^2+6x-8)

x^3+6x^2+-8x+7x^2+42-56

add or subtract like terms but before i do that i arrange them

x^3+6x^2+7x^2-8x+42x-56

x^3+13x^2-34x-56

Answer 2

`{x}^(3) + 13 {x}^(2) + 34x - 56`

Explanation:

`(x + 7)( {x}^(2) + 6x - 8) \\ = x ( {x}^(2) + 6x - 8) + 7( {x}^(2) + 6x - 8) \\ = {x}^(3) + 6 {x}^(2) - 8x + 7 {x}^(2) + 42x - 56 \\ = {x}^(3) + 6 {x}^(2) + 7 {x}^(2) + 42x - 8x - 56 \\ = {x}^(3) + 13 {x}^(2) + 34x - 56 \\`