Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course

Q.

What will be the factors of x 4 y 4 −xy ?


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

(xy−1) x 2 y 2 −xy+1

b

(xy+1) x 2 y 2 +xy+1

c

(xy+1) x 2 y 2 −xy+1

d

(xy−1) x 2 y 2 −xy−1  

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have to find the factors of x 4 y 4 −xy .
Using the identity,
x 3 − y 3 =(x−y) x 2 +xy+ y 2 Taking xy as common from the given expression,
x 4 y 4 −xy=xy x 3 y 3 −1
Factorize the expression by applying formula,
xy x 3 y 3 −1 =xy (xy) 3 − 1 3 xy x 3 y 3 −1 =xy(xy−1) (xy) 2 +1+xy xy x 3 y 3 −1 =xy(xy−1) x 2 y 2 +1+xy
So, the factors of x 4 y 4 −xy are (xy+1) x 2 y 2 −xy+1 .
Therefore, option 3 is correct.
 
Watch 3-min video & get full concept clarity

hear from our champions

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
whats app icon
What will be the factors of x 4 y 4 −xy ?