Question

geometry concepts/connect a-27.0821010-812-king, tyrone ga-3: mathxl king_walley multiply. (2x + 3)(6x^2 + 7x + 7) the answer is . (simplify your answer.)

Explanation:

Step1: Apply distributive property

$(2x + 3)(6x^{2}+7x + 7)=2x(6x^{2}+7x + 7)+3(6x^{2}+7x + 7)$

Step2: Multiply each term

$2x(6x^{2}+7x + 7)=2x\times6x^{2}+2x\times7x+2x\times7 = 12x^{3}+14x^{2}+14x$
$3(6x^{2}+7x + 7)=3\times6x^{2}+3\times7x+3\times7=18x^{2}+21x + 21$

Step3: Combine like - terms

$(12x^{3}+14x^{2}+14x)+(18x^{2}+21x + 21)=12x^{3}+(14x^{2}+18x^{2})+(14x + 21x)+21=12x^{3}+32x^{2}+35x + 21$

Answer:

$12x^{3}+32x^{2}+35x + 21$