Question

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

Answer 1

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

_________________

OAmalOHopeO

Answer 2

(y-2x)(3x+y)

B