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# What is the value of x^2yz + xy^2z + xyz^2 ?

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Intern
Joined: 30 Aug 2010
Posts: 13
What is the value of x^2yz + xy^2z + xyz^2 ?  [#permalink]

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15 Sep 2010, 06:38
1
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:51) correct 28% (01:27) wrong based on 123 sessions

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What is the value of x^2yz + xy^2z + xyz^2 ?

(1) x + y + z = 18
(2) xyz = 10
Math Expert
Joined: 02 Sep 2009
Posts: 50624
Re: What is the value of x^2yz+xy^2z+xyz^2 ?  [#permalink]

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15 Sep 2010, 07:18
1
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rraggio wrote:
What is the value of x^2yz+xy^2z+xyz^2 ?

(1) x+y+z=18
(2) xyz=10

Thanks again!

Question: $$x^2yz+xy^2z+xyz^2=xyz(x+y+z)=?$$

(1) $$x+y+z=18$$. We know only one of the multiples. Not sufficient.
(2) $$xyz=10$$. We know only one of the multiples. Not sufficient.

(1)+(2) $$x+y+z=18$$ and $$xyz=10$$ --> $$xyz(x+y+z)=10*18=180$$. Sufficient.

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Joined: 20 Jul 2010
Posts: 215
Re: What is the value of x^2yz+xy^2z+xyz^2 ?  [#permalink]

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15 Sep 2010, 20:14
Thanks bunuel for reformatting the question - straight C
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Intern
Joined: 30 Jul 2009
Posts: 17
Location: Danbury CT
Schools: Wharton, Columbia , Cornell, CMU , Yale
Re: What is the value of x^2yz+xy^2z+xyz^2 ?  [#permalink]

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19 Sep 2010, 19:30
If xyz was given as equal to zero, than the answer would have been totally different
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Joined: 01 Feb 2011
Posts: 664
Re: What is the value of x^2yz+xy^2z+xyz^2 ?  [#permalink]

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17 Sep 2011, 17:55
x^2*y*z + x*y^2*z+x*y*z^2 =?

i.e xyz(x+y+z) =?

1. Not sufficient.

x+y+z = 18. there is no way we can find out the value of xyz from this . as different x,y,z combinations will yield
different xyz.

2. Not sufficient.

xyz = 10

there is no way we can find out the value of x+y+z from this . as different x,y,z combinations will yield
different x+y+z.

1&2 together, its sufficient to find out xyz(x+y+z).

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Re: What is the value of x^2yz + xy^2z + xyz^2 ?  [#permalink]

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28 Nov 2017, 04:35
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Re: What is the value of x^2yz + xy^2z + xyz^2 ? &nbs [#permalink] 28 Nov 2017, 04:35
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