Q. 4 E4.6( 5 Votes )

Factories the following

x4 – 2x2y2 + y4

Answer :

In the given expression


1st and last terms are perfect square


x4 = x2 × x2


y4 = y2 × y2


And the middle expression is in form of 2ab


2x2y2 = 2 × x2 × y2


x2 × x2 - 2 × x2 × y2 + y2 × y2


Gives (a-b)2 = a2-2ab + b2


x4 – 2x2y2 + y4


a = x2 and b = y2;


x4 – 2x2y2 + y4 = (x2 – y2) (x2 + y2)


Hence the factors of x4 – 2x2y2 + y4 are (x2 – y2) and (x2 + y2)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Factorisation ProblemsNCERT | Factorisation ProblemsNCERT | Factorisation Problems38 mins
Algebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak Areas41 mins
Quiz | Important Questions on FactorisationQuiz | Important Questions on FactorisationQuiz | Important Questions on Factorisation35 mins
Quiz | Questions on FactorizationQuiz | Questions on FactorizationQuiz | Questions on Factorization41 mins
Champ Quiz | Division of PolynomialsChamp Quiz | Division of PolynomialsChamp Quiz | Division of Polynomials33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses