GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 01:07

### 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

# If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58454
If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?  [#permalink]

### Show Tags

10 Apr 2019, 21:54
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:17) correct 28% (01:10) wrong based on 32 sessions

### HideShow timer Statistics

If |3x| ≠ 2 , what is the value of $$\frac{9x^2 - 4}{3x + 2} - \frac{9x^2 - 4}{3x - 2}$$ ?

(A) –9
(B) –4
(C) 0
(D) 4
(E) 9

_________________
Senior Manager
Joined: 03 Mar 2017
Posts: 367
Re: If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?  [#permalink]

### Show Tags

10 Apr 2019, 22:02
Take (9x^2-4) common and solve.

The denominator will also become (9x^2-4) and therefore after solving the answer will be -4.

IMO B
_________________
--------------------------------------------------------------------------------------------------------------------------
All the Gods, All the Heavens, and All the Hells lie within you.
Director
Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?  [#permalink]

### Show Tags

10 Apr 2019, 22:20
Bunuel wrote:
If |3x| ≠ 2 , what is the value of $$\frac{9x^2 - 4}{3x + 2} - \frac{9x^2 - 4}{3x - 2}$$ ?

(A) –9
(B) –4
(C) 0
(D) 4
(E) 9

$$a^2-b^2 = (a+b)(a-b)$$

$$\frac{9x^2 - 4}{3x + 2} - \frac{9x^2 - 4}{3x - 2}$$ ==> $$\frac{(3x+2)(3x-2)}{3x + 2} - \frac{(3x+2)(3x-2)}{3x - 2}$$ ==> $$(3x-2)-(3x+2)$$ ==> -4

Hence B
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5020
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?  [#permalink]

### Show Tags

11 Apr 2019, 00:52
Bunuel wrote:
If |3x| ≠ 2 , what is the value of $$\frac{9x^2 - 4}{3x + 2} - \frac{9x^2 - 4}{3x - 2}$$ ?

(A) –9
(B) –4
(C) 0
(D) 4
(E) 9

simplify expression
$$\frac{9x^2 - 4}{3x + 2} - \frac{9x^2 - 4}{3x - 2}$$
we get
3x-2-3x-2 =0
-4
IMO B
Re: If |3x| ≠ 2 , what is the value of 9x^2 - 4/3x + 2 - 9x^2 - 4/3x - 2 ?   [#permalink] 11 Apr 2019, 00:52
Display posts from previous: Sort by