Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 22 Jul 2019, 15:44

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Which of the following is equivalent to (2x^2+8x−24)/(2x^2+20x−48) for

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56357
Which of the following is equivalent to (2x^2+8x−24)/(2x^2+20x−48) for  [#permalink]

### Show Tags

20 Aug 2018, 22:52
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:45) correct 14% (02:32) wrong based on 48 sessions

### HideShow timer Statistics

Which of the following is equivalent to $$\frac{2x^2+8x−24}{2x^2+20x−48}$$ for all values of x for which both expressions are defined?

A. (x−2)/(x−4)

B. (x−2)/(x+4)

C. (x+2)/(x+4)

D. (x+2)/(x−12)

E. (x+6)/(x+12)

_________________
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: Which of the following is equivalent to (2x^2+8x−24)/(2x^2+20x−48) for  [#permalink]

### Show Tags

20 Aug 2018, 23:13
Bunuel wrote:
Which of the following is equivalent to $$\frac{2x^2+8x−24}{2x^2+20x−48}$$ for all values of x for which both expressions are defined?

A. (x−2)/(x−4)

B. (x−2)/(x+4)

C. (x+2)/(x+4)

D. (x+2)/(x−12)

E. (x+6)/(x+12)

$$\frac{2x^2+8x−24}{2x^2+20x−48}$$
=$$\frac{2(x^2+4x−12}{2(x^2+10x−24)}$$
=$$\frac{x^2+6x-2x−12}{x^2+12x-2x−24}$$
=$$\frac{x(x+6)-2(x+6)}{x(x+12)-2(x+12)}$$
=$$\frac{(x+6)(x-2)}{(x+12)(x-2)}$$
=$$\frac{(x+6)}{(x+12)}$$

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
NUS School Moderator
Joined: 18 Jul 2018
Posts: 990
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Which of the following is equivalent to (2x^2+8x−24)/(2x^2+20x−48) for  [#permalink]

### Show Tags

20 Aug 2018, 23:47
Factorizing both numerator and denominator gives
$$\frac{{2x^2+12x-4x-24}}{{2x^2+24x-4x-48}}$$

$$\frac{{(2x-4)(x+6)}}{{(2x-4)(x+12)}}$$

We get,

$$\frac{{(x+6)}}{{(x+12)}}$$

_________________
Press +1 Kudos If my post helps!
Re: Which of the following is equivalent to (2x^2+8x−24)/(2x^2+20x−48) for   [#permalink] 20 Aug 2018, 23:47
Display posts from previous: Sort by