Question

Kuta Software Infinite Algebrn 2 Factoring By Grouping Factor each completely. Name Sam ontha cehallos Date JBL Period at 1) 120'0' 125 49(a)-3(321) GA)52483) 2) 2p+5p? + 6p + 15 2p?opt spis 2p(223)+ Sipas La) Ats

Answer 1

Answer:

$112xy-16x+128x^2-14y=(8x-1)(14y+16x)$

Explanation: We need to factor following completely, it is done by Grouping method, which means that we group the similar terms and then start factoring:

$112xy-16x+128x^2-14y$

Factorization by Grouping is as follows:

$\begin{gathered} 112xy-16x+128x^2-14y \\ \text{ Grouping}\rightarrow \\ \\ y(112x-14)-16x+128x^2\rightarrow14y(8x-1)+16x(-1+8x) \\ \text{ Factoring out the (8x-}1) \\ \rightarrow112xy-16x+128x^2-14y=(8x-1)(14y+16x) \\ \end{gathered}$

Therefore the final answer is again:

$112xy-16x+128x^2-14y=(8x-1)(14y+16x)$