Factorize :9x2 + 4y2 + 16z2 – 12 xy – 16yz + 24 xz

Using Identity:(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx9x2 + 4y2 + 16z2 – 12 xy – 16yz + 24 xz = (– 3x)2 + (2y)2 + (– 4z)2 + 2(– 3x)(2y) + 2(2y)(– 4z) + 2(– 4z)(– 3x)= (– 3x + 2y – 4z)2

Q. 5 A5.0( 2 Votes )

Factorize :

9x² + 4y² + 16z² – 12 xy – 16yz + 24 xz

Class 9th

Answer :

Using Identity:

(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx

9x² + 4y² + 16z² – 12 xy – 16yz + 24 xz = (– 3x)² + (2y)² + (– 4z)² + 2(– 3x)(2y) + 2(2y)(– 4z) + 2(– 4z)(– 3x)

= (– 3x + 2y – 4z)²

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSExpanding the following using suitable identities.NEXTFactorize :

Related Videos

Smart Revision | Polynomials Identities39 mins

Polynomials - Zero to Hero42 mins

Genius Quiz | Polynomials40 mins

Zeros and Degrees of a Polynomial41 mins

Genius Quiz | Division of Algebraic Expressions37 mins

Champ Quiz | Polynomials29 mins

Quiz | Imp. Qs. on Algebraic Identities65 mins

Basic understanding of Polynomials37 mins

Introduction to Polynomials37 mins

Methods to find zeroes of a Polynomial-246 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

view all courses