Question

find the product. simplify your answer. (4u + 2)(2u² - 2u + 1)

Explanation:

Step1: Distribute $4u$ to trinomial

$4u \cdot 2u^2 + 4u \cdot (-2u) + 4u \cdot 1 = 8u^3 - 8u^2 + 4u$

Step2: Distribute $2$ to trinomial

$2 \cdot 2u^2 + 2 \cdot (-2u) + 2 \cdot 1 = 4u^2 - 4u + 2$

Step3: Combine the two results

$(8u^3 - 8u^2 + 4u) + (4u^2 - 4u + 2)$

Step4: Combine like terms

$8u^3 + (-8u^2+4u^2) + (4u-4u) + 2 = 8u^3 -4u^2 + 2$

Answer:

$8u^3 - 4u^2 + 2$