If x^2 + 4xy + 4y^2 = 16, then (x + 2y)^2 = | GMAT Sprint

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sub-505

Algebra

If $x^2 + 4xy + 4y^2 = 16$ , then $(x + 2y)^2 =$

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4

16

Correct

8

32

64

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Explanation

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Official Explanation

Official

To solve for

(x + 2y)^2

, we start with the given equation

x^2 + 4xy + 4y^2 = 16

. Notice that the left side can be factored as…

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Comments

ArpanJan 7, 2025

Amazing

SubhamJan 25, 2025

thankss

AishwaryaFeb 11, 2025

Thank you very much!

ArpitApr 11, 2025

Great explanation

ashrithFeb 10, 2025

thanks for taking time to upload it!

PriyadarshiniMar 25, 2025

Thankss

What this question tests

What it tests

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

Common trap

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

If x2+4xy+4y2=16x^2 + 4xy + 4y^2 = 16x2+4xy+4y2=16, then (x+2y)2=(x + 2y)^2 =(x+2y)2=