Question

Date
Page
Factorise the following using a suitable
identity!
4x² + 9y2 + 16z² + 12xy-24yz-16xz​

Answer 1

Answer & Step-by-step explanation:

Given that-

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

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

= (2x + 3y - 4z)²                          ∵ [a² + b² + c² + 2(ab + bc + ca) = (a + b + c)²]

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