Question

Name Sa Kuta Software - Infinite Algebra 2 Factoring By Grouping Factor each completely. 1) 12a-9a² + 4a - 3 1203efon 2) 2p² +5p²

Answer 1

$8x(c-d)(2x-y)$

Explanation

$16x^2c+8xyd-16x^2d-8xyc$

Step 1

factorize 8x

$\begin{gathered} 8x(\frac{16x^2c+8xyd-16x^2d-8xyc}{8x}) \\ 8x(2xc+yd-2xd-yc) \end{gathered}$

group the terms and reorder

$\begin{gathered} 8x(2x(-d+c)-y(-d+c) \\ 8x(-d+c)(2x-y) \\ -8x(-c+d)(2x-y) \\ 8x(c-d)(2x-y) \end{gathered}$

I hope this helps you