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If y^3 = y – 1, then y - 1/(1 - y^2) =

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132642 [0], given: 12326

If y^3 = y – 1, then y - 1/(1 - y^2) = [#permalink]

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New post 19 Sep 2017, 00:52
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (01:34) correct 10% (01:41) wrong based on 31 sessions

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Kudos [?]: 132642 [0], given: 12326

Director
Director
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G
Joined: 18 Aug 2016
Posts: 550

Kudos [?]: 161 [0], given: 134

GMAT 1: 630 Q47 V29
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Re: If y^3 = y – 1, then y - 1/(1 - y^2) = [#permalink]

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New post 19 Sep 2017, 01:16
Bunuel wrote:
If \(y^3 = y – 1\), then \(y - \frac{1}{1 - y^2}=\)

A. -1
B. 1
C. 1.5
D. 2.5
E. 0


Given
\(y^3 - y = – 1\)
\(y-y^3 = 1\)

\(y - \frac{(1)}{(1 - y^2)}\)
\(\frac{(y-y^3-1)}{(1-y^2)}\)
\(\frac{(1-1)}{(1-y^2)} = 0\)

E
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Luckisnoexcuse

Kudos [?]: 161 [0], given: 134

Senior Manager
Senior Manager
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G
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 330

Kudos [?]: 105 [0], given: 320

Location: India
GPA: 3.64
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Re: If y^3 = y – 1, then y - 1/(1 - y^2) = [#permalink]

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New post 19 Sep 2017, 02:34
Bunuel wrote:
If \(y^3 = y – 1\), then \(y - \frac{1}{1 - y^2}=\)

A. -1
B. 1
C. 1.5
D. 2.5
E. 0


y - \(\frac{1}{(1-y^2)}\) = \(\frac{y * (1-y^2) -1}{(1-y^2)}\)
= \(\frac{(y-y^3-1)}{(1-y^2)}\)
= \(\frac{(y^3-y^3)}{(1-y^2)}\)
= 0

Answer E

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Kudos [?]: 105 [0], given: 320

Re: If y^3 = y – 1, then y - 1/(1 - y^2) =   [#permalink] 19 Sep 2017, 02:34
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