$(5 x + 2 y + 3 z)^{2}$

25 x^{2} + 4 y^{2} + 9 z^{2} + 20 x y + 12 y z + 30 z x

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

25 x^{2} - 4 y^{2} + 9 z^{2} + 20 x y + 12 y z + 30 z x

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

25 x^{2} + 4 y^{2} - 9 z^{2} + 20 x y + 12 y z + 30 z x

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

None of these

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

Open in App

Solution

The correct option is C $25 x^{2} + 4 y^{2} + 9 z^{2} + 20 x y + 12 y z + 30 z x$
To expand $(5 x + 2 y + 3 z)^{2}$
$∵ (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a$
$⟹ (5 x + 2 y + 3 z)^{2} = 25 x^{2} + 4 y^{2} + 9 z^{2} + 20 x y + 12 y z + 30 z x$

Suggest Corrections

Similar questions

25 x^{2} + 4 y^{2} + 9 z^{2} - 20 x y + 12 y z - 30 z x

Factrorise
$25 x^{2} + 4 y^{2} + 9 z^{2} - 20 x y - 12 y z + 30 x z$

Question 29
Factorise the following:

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

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

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

Question 29
Factorise the following:

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

25 x^{2} + 16 y^{2} + 4 z^{2} - 40 x y + 16 y z - 20 x z

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

Factorize:

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

Join BYJU'S Learning Program