Factorise:

\( 4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z \)

Given: 4x² + 9y² + 16z² + 12xy − 24yz − 16xz  

To find: We have to factorize 4x² + 9y² + 16z² + 12xy − 24yz − 16xz  

Solution:

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

= (2x)² + (3y)² + (-4z)² + 2(2x)(3y) + 2(3y)(-4z) + 2(2x)(-4z)  

Using (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

= (2x + 3y - 4z)²  

= (2x + 3y - 4z) (2x + 3y - 4z)  

Tutorialspoint

Updated on: 10-Oct-2022

62 Views

Kickstart Your Career

Get certified by completing the course

Get Started