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(a+b)^2
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24 Mar 2022, 02:00
24 Mar 2022, 02:00
Expert Reply
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Question Stats:
93% (00:27) correct
6% (00:13) wrong based on 15 sessions
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Attachment:
GRE Triangle (3).jpg [ 14.06 KiB | Viewed 1517 times ]
Quantity A |
Quantity B |
\((a+b)^2 \) |
\( c^2\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: (a+b)^2
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24 Mar 2022, 08:49
24 Mar 2022, 08:49
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Carcass wrote:
Attachment:
GRE Triangle (3).jpg
Quantity A |
Quantity B |
\((a+b)^2 \) |
\( c^2\) |
Since the given triangle is a right triangle, we can apply the Pythagorean Theorem to write: a² + b² = c²
This means we can take Quantity B and replace c² with a² + b² to get:
QUANTITY A: (a + b)²
QUANTITY B: a² + b²
Expand and simplify Quantity A to get:
QUANTITY A: a² + 2ab + b²
QUANTITY B: a² + b²
Subtract a² and b² from both quantities to get:
QUANTITY A: 2ab
QUANTITY B: 0
Since it must be the case that a > 0 and b > 0, we can see that Quantity A is greater.
Answer: A
gmatclubot
Re: (a+b)^2 [#permalink]
24 Mar 2022, 08:49
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