Question

Multiply and write in standard form. (2x+4) (x2−8x+7)

Answer 1

Answer:

${2x}^{3} - {12x}^{2} - 18x + 28$

Step-by-step explanation:

$(2x + 4)( {x}^{2} - 8x + 7) \\ = {2x}^{3} - {16x}^{2} + 14x + {4x}^{2} - 32x + 28 \\ = {2x}^{3} - {12x}^{2} - 18x + 28$

Answer 2

Answer:

2x³ - 12x² - 18x + 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x² - 8x + 7) + 4(x² - 8x + 7) ← distribute both parenthesis

= 2x³ - 16x² + 14x + 4x² - 32x + 28 ← collect like terms

= 2x³ - 12x² - 18x + 28 ← in standard form