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Factorize completely (2x+2y) (x-y)+(2x-2y)(x+y)​

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User Arnaslu
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1 Answer

4 votes
Answer: See below

Step-by-step explanation:

(2x + 2y)(x - y) + (2x - 2y)(x+y)
= 2(x+y)(x-y) + 2(x-y)(x+y)
= 2(x^2 - y^2) + 2(x^2 - y^2)
= (2 + 2)(x^2 - y^2) (combine like terms)
= 4(x^2 - y^2)

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