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

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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]

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10 Apr 2019, 21:54
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25% (medium)

Question Stats:

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

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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

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

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

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

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

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