Question

Factor completely 3x 2 + 2xy - y 2

Answer 1

Answer:

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

Step-by-step 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 $(3x-y)(x+y)$.

Answer 2

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