Question

find the product. simplify your answer. $(2d + 4)(d^{2} - 4d - 3)$

Explanation:

Step1: Apply distributive property

$2d(d^2 - 4d - 3) + 4(d^2 - 4d - 3)$

Step2: Expand each term

$2d^3 - 8d^2 - 6d + 4d^2 - 16d - 12$

Step3: Combine like terms

$2d^3 + (-8d^2 + 4d^2) + (-6d - 16d) - 12$

Step4: Simplify the terms

$2d^3 - 4d^2 - 22d - 12$

Answer:

$2d^3 - 4d^2 - 22d - 12$