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Which of the following is equivalent to (3? + 4?)(5? 3?)?
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18 Jul 2022, 00:31
18 Jul 2022, 00:31
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Question Stats:
90% (01:38) correct
9% (00:34) wrong based on 11 sessions
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Which of the following is equivalent to \((3๐ฅ + 4๐ฆ)(5๐ฅ โ 3๐ฆ)\)?
I. \(15x^2-12y^2\)
II. \((3๐ฅ โ 3๐ฆ)(5๐ฅ + 4๐ฆ)\)
III. \(โ4๐ฆ(โ5๐ฅ + 3๐ฆ) + 3๐ฅ(5๐ฅ โ 3๐ฆ)\)
A III only
B I only
C II and III only
D I and III only
E I, II, and III
I. \(15x^2-12y^2\)
II. \((3๐ฅ โ 3๐ฆ)(5๐ฅ + 4๐ฆ)\)
III. \(โ4๐ฆ(โ5๐ฅ + 3๐ฆ) + 3๐ฅ(5๐ฅ โ 3๐ฆ)\)
A III only
B I only
C II and III only
D I and III only
E I, II, and III
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
GRE Prep Club Team Member
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Re: Which of the following is equivalent to (3? + 4?)(5? 3?)?
[#permalink]
20 Jul 2022, 07:09
20 Jul 2022, 07:09
1
Expert Reply
Carcass wrote:
Which of the following is equivalent to \((3๐ฅ + 4๐ฆ)(5๐ฅ โ 3๐ฆ)\)?
I. \(15x^2-12y^2\)
II. \((3๐ฅ โ 3๐ฆ)(5๐ฅ + 4๐ฆ)\)
III. \(โ4๐ฆ(โ5๐ฅ + 3๐ฆ) + 3๐ฅ(5๐ฅ โ 3๐ฆ)\)
A III only
B I only
C II and III only
D I and III only
E I, II, and III
I. \(15x^2-12y^2\)
II. \((3๐ฅ โ 3๐ฆ)(5๐ฅ + 4๐ฆ)\)
III. \(โ4๐ฆ(โ5๐ฅ + 3๐ฆ) + 3๐ฅ(5๐ฅ โ 3๐ฆ)\)
A III only
B I only
C II and III only
D I and III only
E I, II, and III
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
\((3๐ฅ + 4๐ฆ)(5๐ฅ โ 3๐ฆ)\) = \(15x^2 -9xy +20xy -12xy = 15x^2 -xy\)
Hence I could not be equal
II = \(15x^2 +12xy -12y^2 -15x^2 -9xy = -12y^2 +3xy \)
hence cannot equal the equation given
Answer: A
gmatclubot
Re: Which of the following is equivalent to (3? + 4?)(5? 3?)? [#permalink]
20 Jul 2022, 07:09
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