Question

Factor completely 3x 2 + 2xy - y 2

Answer 1

(3x−y)(x+y) is the answer but did you mean to put 3x^2 + 2xy - y^2 as your answer?

Answer 2

Final answer is
`(3x-y)(x+y)`.

Explanation:

Given expression is
`3x^2+2xy-y^2`.

Now we need to factor the given expression
`3x^2+2xy-y^2` completely. Let's use factor by grouping method.

`3x^2+2xy-y^2`

`=3x^2+3xy-xy-y^2`

`=3x(x+y)-y(x+y)`

`=(3x-y)(x+y)`

Hence final answer is
`(3x-y)(x+y)`.