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# (x + y)^2 – (x^2 – y^2 ) =

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Math Expert
Joined: 02 Sep 2009
Posts: 62353
(x + y)^2 – (x^2 – y^2 ) =  [#permalink]

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25 Jul 2019, 22:46
00:00

Difficulty:

25% (medium)

Question Stats:

78% (00:56) correct 22% (00:31) wrong based on 37 sessions

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$$(x + y)^2 – (x^2 – y^2 ) =$$

(A) $$(x – y)^2$$

(B) $$2y^2$$

(C) $$2xy$$

(D) $$2x(y – x)$$

(E) $$2y(x + y)$$

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Intern
Joined: 11 May 2019
Posts: 33
Re: (x + y)^2 – (x^2 – y^2 ) =  [#permalink]

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25 Jul 2019, 23:13
x^2+2xy+y^2-(x^2-y^2)
2xy+y^2
2y(x+y)
E

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3337
Re: (x + y)^2 – (x^2 – y^2 ) =  [#permalink]

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26 Jul 2019, 00:26

Solution

To find:
• $$(x + y)^2 – (x^2 – y^2)$$

Approach and Working Out:
• $$(x + y)^2 – (x^2 – y^2) = x^2 + y^2 + 2xy – x^2 + y^2 = 2xy + 2y^2 = 2y(x + y)$$

Hence, the correct answer is Option E.

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Re: (x + y)^2 – (x^2 – y^2 ) =   [#permalink] 26 Jul 2019, 00:26
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