 It is currently 18 Jun 2019, 09:56 GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 , given: 397

xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z [#permalink]
Expert's post 00:00

Question Stats: 86% (00:31) correct 13% (00:40) wrong based on 61 sessions
 Quantity A Quantity B $$xy^2z(x^2z + yz^2 - xy^2)$$ $$x^3y^2z^2 + xy^3z^3 - x^2y^4z$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Director Joined: 20 Apr 2016
Posts: 903
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 669  , given: 148

Re: xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z [#permalink]
1
KUDOS
sandy wrote:
 Quantity A Quantity B $$xy^2z(x^2z + yz^2 - xy^2)$$ $$x^3y^2z^2 + xy^3z^3 - x^2y^4z$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Here;

In statement 1 : $$xy^2z(x^2z + yz^2 - xy^2)$$ = $$x^3y^2z^2 + xy^3z^3 - x^2y^4z$$ = statement 2

Hence option C
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 , given: 397

Re: xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z [#permalink]
Expert's post
Explanation

In Quantity A, the term xy2z on the outside of the parentheses must be multiplied by each of the three terms inside the parentheses. Then simplify the expression as much as possible.

Taking one term at a time, the first is $$xy^2z \times x^2z = x^3y^2z^2$$, because there are three factors of x, two factors of y, and two factors of z. Similarly, the second term is $$xy^2z \times yz^2 = xy^3z^3$$ and the third is $$xy^2z \times (-xy^2) = -x^2y^4z$$.

Adding these three terms together gives the distributed form of Quantity A: $$x^3y^2z^2 + xy^3z^3 - x^2y^4z$$.

This is identical to Quantity B, so the two quantities are equal.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Re: xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z   [#permalink] 17 Jul 2018, 12:07
Display posts from previous: Sort by

xy2z(x2z + yz2 - xy2) vs x3y2z2 + xy3z3 - x2y4z  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.