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# (x^3 – y^3)(x^3 + y^3) =

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Math Expert
Joined: 02 Sep 2009
Posts: 59730
(x^3 – y^3)(x^3 + y^3) =  [#permalink]

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21 Mar 2016, 07:24
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:36) correct 10% (00:41) wrong based on 208 sessions

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$$(x^3 – y^3)(x^3 + y^3) =$$

A. $$x^6 – y^6$$
B. $$x^6 + y^6$$
C. $$x^9 – y^9$$
D. $$x^9 + y^9$$
E. $$x^9 – 2x^3y^3 + y^9$$

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Marshall & McDonough Moderator
Joined: 13 Apr 2015
Posts: 1683
Location: India
Re: (x^3 – y^3)(x^3 + y^3) =  [#permalink]

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23 Mar 2016, 09:02
(a + b)(a - b) = a^2 - b^2
a = x^3; b = y^3
Answer: x^6 - y^6 = A
Intern
Joined: 30 Jul 2014
Posts: 38
Re: (x^3 – y^3)(x^3 + y^3) =  [#permalink]

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28 Mar 2016, 03:01
OA : x6-y6

Take X = x^3, Y= y^3
The equation becomes (X-Y)(X+Y).
Using formula, X^2 - Y^2

Now substituting , x^6-y^6
Manager
Joined: 11 Dec 2013
Posts: 120
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: (x^3 – y^3)(x^3 + y^3) =  [#permalink]

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02 Feb 2019, 20:20
1
$$(a + b)(a - b) = a^2 - b^2$$
$$(x^3 – y^3)(x^3 + y^3) =x^6-y^6$$
Re: (x^3 – y^3)(x^3 + y^3) =   [#permalink] 02 Feb 2019, 20:20
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