Question

Factorise:
(i)
4x² +9y2 + 16z2 + 12xy – 24yz - 16xz
(i) 2x2 + y2 + 8z2 - 272 xy + 472 yz - 8xz..plz ans the fast​

Answer 1

Answer:

(i) (2x + 3y – 4z)^2.

(ii) $(\sqrt{2} x + y + 2\sqrt{2} z)^{2}$

Step-by-step explanation:

(i) 4x^2 + 9y^2 + 16z^2+ 12xy – 24yz – 16xz

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

=> (2x + 3y – 4z)^2.

(ii) 2x^2 + y^2 + 8z^2 - 2root2 xy + 4root2yz - 8xz

(attached in image)

= (root2x - y - 2root 2z)^2

=> $(\sqrt{2} x + y + 2\sqrt{2} z)^{2}$

Thanks. Hope you understood. If yes, please mark as brainliest.