Respuesta :

lublana

Answer:

Final answer is [tex](3x-y)(x+y)[/tex].

Step-by-step explanation:

Given expression is [tex]3x^2+2xy-y^2[/tex].

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

[tex]3x^2+2xy-y^2[/tex]

[tex]=3x^2+3xy-xy-y^2[/tex]

[tex]=3x(x+y)-y(x+y)[/tex]

[tex]=(3x-y)(x+y)[/tex]

Hence final answer is [tex](3x-y)(x+y)[/tex].

kws65411

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

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