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

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New post 10 Apr 2019, 21:54
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (01:01) correct 17% (01:27) wrong based on 12 sessions

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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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New post 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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New post 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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New post 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
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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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