GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Which of the following is equal to
[#permalink]
13 Jul 2019, 01:26
13 Jul 2019, 01:26
Expert Reply
2
Bookmarks
00:00
Question Stats:
73% (01:33) correct
26% (02:28) wrong based on 63 sessions
Hide Show timer Statistics
Which of the following is equal to \(\frac{-1}{2x} - \frac{1}{4y} + \frac{1}{xy} + \frac{1}{8}\) ?
A. \(\frac{(x-4)(2-y)}{8xy}\)
B. \(\frac{(x-2)(y-4)}{8xy}\)
C. \(\frac{(x-4)(y-2)}{8xy}\)
D. \(\frac{(x+2)(4-y)}{8xy}\)
E. \(\frac{(x-2)(4-y)}{8xy}\)
A. \(\frac{(x-4)(2-y)}{8xy}\)
B. \(\frac{(x-2)(y-4)}{8xy}\)
C. \(\frac{(x-4)(y-2)}{8xy}\)
D. \(\frac{(x+2)(4-y)}{8xy}\)
E. \(\frac{(x-2)(4-y)}{8xy}\)
MyGuru Representative
Joined: 09 Apr 2020
Posts: 35
Given Kudos: 0
Re: Which of the following is equal to
[#permalink]
18 Apr 2020, 21:20
18 Apr 2020, 21:20
2
Expert Reply
Carcass wrote:
Which of the following is equal to \(\frac{-1}{2x} - \frac{1}{4y} + \frac{1}{xy} + \frac{1}{8}\) ?
A. \(\frac{(x-4)(2-y)}{8xy}\)
B. \(\frac{(x-2)(y-4)}{8xy}\)
C. \(\frac{(x-4)(y-2)}{8xy}\)
D. \(\frac{(x+2)(4-y)}{8xy}\)
E. \(\frac{(x-2)(4-y)}{8xy}\)
A. \(\frac{(x-4)(2-y)}{8xy}\)
B. \(\frac{(x-2)(y-4)}{8xy}\)
C. \(\frac{(x-4)(y-2)}{8xy}\)
D. \(\frac{(x+2)(4-y)}{8xy}\)
E. \(\frac{(x-2)(4-y)}{8xy}\)
First, find a common denominator: \(8xy\)
Rewrite each expression using 8xy as the denominator: \(\frac{-4y}{8xy}-\frac{2x}{8xy}+\frac{8}{8xy}+\frac{xy}{8xy}\)
Add up the numerators: \(-4y-2x+8+xy\) (since the denominator is the same in all answer choices, we can disregard it)
Group the x terms together and the y terms together: \(xy-4y-2x+8\)
Factor each group: \(y(x-4)-2(x-4)\)
And distribute: \((x-4)(y-2)\)
Only one answer choice matches that numerator.
Answer: C
Which of the following is equal to
[#permalink]
08 Mar 2024, 20:57
08 Mar 2024, 20:57
1
\(\dfrac{-1}{2x} - \dfrac{1}{4y} + \dfrac{1}{xy} + \dfrac{1}{8}\)
Solve this by taking the LCM
LCM of \(2x\), \(4y\), \(xy\) and \(8\) is \(8xy\)
We now add them all
\(\dfrac{-4y - 2x + 8 + xy}{8xy}\)
\(\dfrac{x(-2+y)-4(y-2)}{8xy}\)
\(\dfrac{(x-4)(y-2)}{8xy}\)
The answer is C
Solve this by taking the LCM
LCM of \(2x\), \(4y\), \(xy\) and \(8\) is \(8xy\)
We now add them all
\(\dfrac{-4y - 2x + 8 + xy}{8xy}\)
\(\dfrac{x(-2+y)-4(y-2)}{8xy}\)
\(\dfrac{(x-4)(y-2)}{8xy}\)
The answer is C
