BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

(x^6 * y^6 - x^6 * y^2) / (x^2 + y^2) = ?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 46
Joined: Sun Dec 27, 2015 7:03 amFollowed by: 1 member
Thanked: 8 times

by chetan.sharma » Thu Jan 14, 2016 8:10 am
lee3381 wrote:(x^6 * y^6 - x^6 * y^2) / (x^2 + y^2) = ?

The answer is (xy)^2 * (y^2 - x^2).

but I am just not sure how to get this answer.
anyone can explain this answer?
Hi,
firstly I'll have to change the equation that you have written, because the answer cannot be what you are saying..

(x^6 * y^6 - x^6 * y^2) / (x^2 + y^2) ... should be
(x^2 * y^6 - x^6 * y^2) / (x^2 + y^2) ..

now lets work on it..
(x^2 * y^6 - x^6 * y^2) / (x^2 + y^2) ..
x^2*y^2*(y^4-x^4)/(x^2 + y^2)...
now y^4-x^4 can be written as (x^2 + y^2)(y^2-x^2)...
x^2*y^2*(x^2 + y^2)(y^2-x^2)/(x^2 + y^2)= (xy)^2 * (y^2 - x^2)..

hope it helps
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members
Location: East Bay all the way
Thanked: 625 times
GMAT Score:780

by Matt@VeritasPrep » Fri Jan 22, 2016 4:58 pm
I think Chetan is right. We should have:

(x²y� - x�y²) / (x² + y²), or

(xy)²(y� - x�) / (x² + y²), or

using the difference of squares

(xy)² * (y² + x²) * (y² - x²) / (x² + y²), or

(xy)² * (y² - x²)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Fri Jan 22, 2016 7:25 pm
Hi lee3381,

What is the source of this question? Is it a GMAT source or a general 'math' source? I ask because while the basic math concepts (exponents, factoring, Classic Quadratics) will appear on Test Day, the 'design' of this question is not one that you'll likely see.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1