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Math Expert V
Joined: 02 Sep 2009
Posts: 58428
Define x?y = x^3 - y. What is h?(h?h) ?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 73% (01:00) correct 27% (01:07) wrong based on 45 sessions

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Define x?y = x^3 - y. What is h?(h?h) ?

(A) -h
(B) 0
(C) h
(D) 2h
(E) h^3

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Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
Re: Define x?y = x^3 - y. What is h?(h?h) ?  [#permalink]

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1
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Bunuel wrote:
Define x?y = x^3 - y. What is h?(h?h) ?

(A) -h
(B) 0
(C) h
(D) 2h
(E) h^3

We know that $$h?h = h^3 - h$$

Therefore, $$h?(h?h) = h?(h^3 - h) = h^3 - h^3 + h = h$$(Option C)
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GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Define x?y = x^3 - y. What is h?(h?h) ?  [#permalink]

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Bunuel wrote:
Define x?y = x^3 - y. What is h?(h?h) ?

(A) -h
(B) 0
(C) h
(D) 2h
(E) h^3

solve for expression h?(h?h)

h?(h^3-h)
h^3-h^3+h
IMO C ; h
Senior Manager  S
Joined: 12 Sep 2017
Posts: 302
Re: Define x?y = x^3 - y. What is h?(h?h) ?  [#permalink]

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pushpitkc wrote:
Bunuel wrote:
Define x?y = x^3 - y. What is h?(h?h) ?

(A) -h
(B) 0
(C) h
(D) 2h
(E) h^3

We know that $$h?h = h^3 - h$$

Therefore, $$h?(h?h) = h?(h^3 - h) = h^3 - h^3 + h = h$$(Option C)

Hello pushpitkc!

Could you please explain to be what would h? be?

Kind regards!
Target Test Prep Representative D
Status: Founder & CEO
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Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)
Re: Define x?y = x^3 - y. What is h?(h?h) ?  [#permalink]

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Bunuel wrote:
Define x?y = x^3 - y. What is h?(h?h) ?

(A) -h
(B) 0
(C) h
(D) 2h
(E) h^3

h?h = h^3 - h

h?(h^3 - h) = h^3 - (h^3 - h) = h

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: Define x?y = x^3 - y. What is h?(h?h) ?   [#permalink] 27 Mar 2019, 18:52
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