Question

Find the product. state your answer in standard form (x+7)(x squared + 6x - 8)

Answer 1

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

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

Answer 2

Answer:

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

Step-by-step 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