Question

multiply.
(4v - 6u + 3)(4v - 4u)
simplify your answer.

Explanation:

Step1: Use distributive property

$(4v - 6u+3)\times4v-(4v - 6u + 3)\times4u$

Step2: Multiply each term

$4v\times4v-6u\times4v + 3\times4v-(4v\times4u-6u\times4u+3\times4u)$
$=16v^{2}-24uv + 12v-(16uv-24u^{2}+12u)$

Step3: Remove parentheses

$16v^{2}-24uv + 12v-16uv + 24u^{2}-12u$

Step4: Combine like - terms

$16v^{2}+24u^{2}+(-24uv-16uv)+12v - 12u$
$16v^{2}+24u^{2}-40uv + 12v-12u$

Answer:

$16v^{2}+24u^{2}-40uv + 12v-12u$