What is the value of x^2 + 2xy + y^2 ?

(1) x + y = 7
(2) x = 2

Correct answer marked below

Statement (1) ALONE is sufficient

Correct

Statement (2) ALONE is sufficient

BOTH statements TOGETHER are sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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Explanation

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Comments

NandhuApr 30

easy one, just recognize the perfect square and you're done with (1) alone

AbhilashaMay 11

yep, (x+y)^2 pattern, classic

GermanAug 26

wait why isn't (2) enough? if x=2 we still don't know y right?

OrahSep 8

exactly, y could be anything so x^2+2xy+y^2 changes

ZoibaJun 22

thanks, helpful refresher on factoring

AlovsatSep 10

ngl took me a sec to see it was (x+y)^2 lol

What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

What is the value of x^2 + 2xy + y^2 ?(1) x + y = 7(2) x = 2