Factors of $(16 x^{2} + 4 y^{2} + 36 z^{2} + 16 x y + 24 y z + 48 z x)$ , are_____.

(4x + 2y - 6z)(4x + 2y - 6z)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(4x - 2y + 6z)(4x - 2y + 6z)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(4x - 2y + 6z)(4x + 2y - 6z)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(4x + 2y + 6z)(4x + 2y + 6z)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D (4x + 2y + 6z)(4x + 2y + 6z)
$16 x^{2} + 4 y^{2} + 36 z^{2} + 16 x y + 24 y z + 48 z x)$ ,
= $16 x^{2} + 4 y^{2} + 36 z^{2} + 2 (8 x y + 12 y z + 24 z x)$ ,
The given expression can be written as,
= $(4 x)^{2} + (2 y)^{2} + (6 z) z^{2} + 2 [(4 x) (2 y) + (2 y) (6 z) + (6 z) (4 x)]$
We know that,
a = 4x, b = 2y, c = 6z
= $(4 x + 2 y + 6 z)^{2}$
= (4x + 2y + 6z)(4x + 2y + 6z)
Hence, option b is the correct answer.

Suggest Corrections

Similar questions

Factorize:

$16 x^{2} + 4 y^{2} + 9 z^{2} - 16 x y - 12 y z + 24 x z$

Factrorise
$16 x^{2} + 4 y^{2} + 9 z^{2} - 16 x y - 12 y z + 24 x z$

16 x^{2} + 4 y^{2} + 9 z^{2} + 16 x y + 12 y z + 24 x z

{(x + 4 y)}^{2} - 16 x y

Join BYJU'S Learning Program