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a is different from zero

2022-06-01T03:00:02-07:00

[m]a \neq 0[/m] [quantity]([m]a+b^2[/m])([m](a+b)^2-2ab[/m])[/quantity] 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 [textarea][b]Part of the project:[/b] [url=https://gre.myprepclub.com/forum/gre-quantitative-comparison-problem-solving-challenge-28296.html][b][color=#005826]GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)[/color][/b][/url] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [url=https://gre.myprepclub.com/forum/gre-math-essentials-for-a-top-quant-score-q170-24951.html#p81626][b]GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)[/b][/url] [url=https://gre.myprepclub.com/forum/gre-geometry-formulas-for-a-q170-25049.html][b]GRE Geometry Formulas for a Q170[/b][/url] [url=https://gre.myprepclub.com/forum/gre-math-book-for-the-gre-exam-2609.html][b]GRE - Math Book[/b][/url][/textarea]

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Carcass

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a is different from zero [#permalink]

01 Jun 2022, 02:00

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\(a \neq 0\)

Quantity A	Quantity B
\(a+b^2\)	\((a+b)^2-2ab\)

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 QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book

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Official Answer

D

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GreenlightTestPrep

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Re: a is different from zero [#permalink]

01 Jun 2022, 05:04

1

Carcass wrote:

\(a \neq 0\)

Quantity A	Quantity B
\(a+b^2\)	\((a+b)^2-2ab\)

We can solve this question using matching operations (see the video lesson below )
Given:
Quantity A: \(a+b^2\)
Quantity B: \((a+b)^2-2ab\)

Expand and simplify Quantity B:
Quantity A: \(a+b^2\)
Quantity B: \(a^2+b^2\)

Subtract \(b^2\) from both quantities:
Quantity A: \(a\)
Quantity B: \(a^2\)

At this point we can see that, if \(a = 1\), the two quantities are equal
Conversely, if \(a = 2\), the two quantities are not equal

Answer: D

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