4(xy)^3 + (x^3 y^3)^2 =

Question

4(xy)^3 + (x^3 − y^3)^2 =

(A)  x^3 − y^3

(B)  (x^2 + y^2)^3

(C)  (x^3 + y^3)^3

(D)  (x^3 − y^3)^2

(E)  (x^3 + y^3)^2

generis · Answer

4(xy)^3 + (x^3 − y^3)^2 =  - expand the Square of a Difference:

4(xy)^3  +  x^6 - (2)(xy)^3 + y^6  =

x^6 + (2)(xy)^3 + y^6  = the expanded version of Square of a Sum ==>

(x^3 + y^3)^2

Answer
 E

Heseraj · Answer

We have

4(xy)^3 + (x^3 - y^3)^2 = > 4(xy)^3 + x^6 - 2(xy)^3 + y^6 = x^6 + 2(xy)^3 + y^6 = (x^3+y^3)^2

Therefore, the answer is option E

Hit the   K

amanvermagmat · Answer

This can also be solved by plugging in values. Lets assume x = y = 1.
 So 4(xy)^3 + (x^3 − y^3)^2 = 4 *(1*1)^2 + (1-1)^2 = 4.

Thus we have to look for an option where when we put x=1 and y=1, we should get our answer as '4'.

Check A) 1-1 = 0
B) (1+1)^3 = 8
C) (1+1)^3 = 8
D) (1-1)^2 = 0
E) (1+1)^2 =  4

Only E satisfies. Thus  E answer

GovindAgrawal077 · Answer

4x^3*y^3 + x^6 - 2(x^3- y^3) + y^6. On opening up the brackets we get, 4x^3*y^3 + x^6 - 2x^3y^3 + y^6. Cancel out 4x^3y^3 and 2x^3y^3. Finally we get, x^6 + 2x^3y^3 +y^6. Therefore, the answer is E.

utkarshthapak · Answer

4(xy)^3 + (x^3-y^3)^2 = 4(xy)^3 + x^6 + y^6 -2(xy)^3 = x^6 + y^6 +2(xy)^3 = (x^3 + y^3)^2. Option E is should be the correct answer, waiting for OA

Sammy599 · Answer

=4(xy)^3 + (x^6 - 2(xy)^3 + y^6)
=2(xy)^3 +x^6 +y^6
=(x^3 + y^3)^2

Hence, the answer should be E.

I would appreciate a kudos if you liked my solution!

pushpitkc · Answer

Let x=y=1

The expression  4(xy)^3 + (x^3 − y^3)^2  gives us a value of 4

Evaluating the answer choices, Only   (x^3+y^3)^2 (Option E)  gives us the same value

Arsh4MBA · Answer

4(xy)^3+x^6-2x^3y^3+y^3
=x^6+y^6+2x^3y^3
=(x^3+y^3)^2

Hence Option E

JeffTargetTestPrep · Answer

4(xy)^3 + (x^3 - y^3)^2

4x^3y^3 + x^6 - 2x^3y^3 + y^6

x^6 + 2x^3y^3 + y^6

(x^3 + y^3)^2

Answer: E

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

4(xy)^3 + (x^3 y^3)^2 =

Prep Toolkit

Top 5 GMAT Debrief Videos

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

GMAT Problem Solving (PS) Questions

4(xy)^3 + (x^3 y^3)^2 =

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