What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3?

Question

What is the value of  x^2yz − xyz^2 , if x = − 2, y = 1, and z = 3?

(A) 20
(B) 24 
(C) 30 
(D) 32 
(E) 48

PS05292

gmatlbs · Answer

Given : x = − 2, y = 1, and z = 3

x^2yz − xyz^2, 
 = xyz (x- z)
 = (-2)(1)(3)  
 = (-6)*(-5)
 = 30
Hence C.

nipunjain14 · Answer

4*1*3 -(- 2*1*9)
=12+18 = 30

Ans: C

JSS16 · Answer

can someone please explain this a bit more? I just substituted and definitely didnt come close

chetan2u · Answer

Hi,

the Q is --- What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 3? ..

x^2yz − xyz^2 = xyz(x-z) = (-2)*1*3*(-2-3) = (-2)*1*3*(-5) = 1*3*10=30 ...
C

Abhishek009 · Answer

x^2  yz  =  -2^2  (1*3)  => 12

xy  z^2  =  (-2*1)3^2  => -18

So,  x^2  yz  −  xy  z^2  = 12 - (-18) => 30

Hence answer will be (C) 30

wolf020287 · Answer

The confusion created in this question is that they could have included brackets.

ie  ( x^2 ) yz - xyz^2..

Else people like me will take x^(2yz)-xyz^2.

Is there any rule for this? Please tell me if so.

Bunuel · Answer

x^2yz mathematically can only mean x^2*y*z. If it were 2 to the power of 2yz, then it would be written as x^(2yz). Still edited the original post to avoid confusion.

Abhishek009 · Answer

(-2)^2*1*3 − (-2)*1*3^2

=4*1*3 - ( -2)*1*9
= 12 - (-18)
= 30
 
Hence answer will be (C) 30

diegocml · Answer

For this question, you must to remember that you need to factor common terms out, then it's just plug and play, and obviously, avoid silly mistakes (I'm talking directly to myself here!) and go bit by bit, just like Jack the Ripper:

{ x }^{ 2 }yz-xy{ z }^{ 2 }=\ xyz\left( x-y ight) =\ \left  \left( -2-3 ight) =\ \left( -6 ight) \left( -5 ight) =\ 30

HasnainAfxal · Answer

xyz(x-z)
(-2)(1)(3)(-2-3)
(-6)(-5)
30

kinvestor · Answer

=> x= -2, y = 1, z = 3,

=> xyz

=> (-2)(1)(3)(-2-3)

=> (-6)(-5)

=> 30

BlueRocketAsh · Answer

x^2yz − xyz^2 
 =(-2)^2*1*3 - (-2)*1*3^2 
 =12+18 
 =30

PriyamRathor · Answer

As per OG2022 the real question is something else.
Here is the image

Please help !

Bunuel · Answer

Your OG has a typo: https://gmatclub.com/forum/download/file.php?id=70190 2023-02-07_19-34-43.png

Iashish.sharma · Answer

x^2yz − xyz^2,
= xyz (x- z)
= (-2)(1)(3)  
= (-6)*(-5)
= 30

Posted from my mobile device

PriyanshuR · Answer

4*1*3 -(- 2*1*9)
=12+18 = 30

What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3?

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GMAT Problem Solving (PS) Questions

What is the value of x^2yz xyz^2, if x = 2, y = 1, and z = 3?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards