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

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What is the value of x^2yz + xy^2z + xyz^2 ? [#permalink] New post 15 Sep 2010, 06:38
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What is the value of x^2yz + xy^2z + xyz^2 ?

(1) x + y + z = 18
(2) xyz = 10
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 15 Sep 2010, 07:18
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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.

Answer: C.
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 15 Sep 2010, 20:14
Thanks bunuel for reformatting the question - straight C
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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 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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Re: What is the value of x^2yz+xy^2z+xyz^2 ? [#permalink] New post 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).

Answer is C.
Re: What is the value of x^2yz+xy^2z+xyz^2 ?   [#permalink] 17 Sep 2011, 17:55
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