What is the factored form of y^2 + xy − 6x^2?

Question

asked Sep 28, 2022 75.1k views

2 Answers

Krzaq · Answer 1 · 2022-09-29T19:52:17+0000

Answer:

$B. \left(y-2x\right)\left(y+3x\right)$

Explanation:

y^2+xy-6x^2

Break the expression into group:

(yx^(2) -2xy)(3xy-6x^(2) )

factor out
from
$y^(2) -2yx:y\left(y-2x\right)$ , and factor out,
from
$3yx-6x^2:3x\left(y-2x\right)$

$y\left(y-2x\right)+3x\left(y-2x\right)$

Now, factor out common terms:
y-2x

$\left(y-2x\right)\left(y+3x\right)$

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