The given trinomial $4 x^{2} + 12 x y + 9 y^{2}$

is not a perfect square trinomial.

True

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

False

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

Open in App

Solution

The correct option is B
False

$\Rightarrow 4 x^{2} + 12 x y + 9 y^{2}$

$= (2 x)^{2} + 2 \times 2 x \times 3 y + (3 y)^{2}$

$L e t 2 x = a, 3 y = b$

$\Rightarrow a^{2} + 2 a b + b^{2}$

$= (a + b)^{2}$

$= (2 x + 3 y)^{2}$

$∴ The give trinomial is a perfect square trinomial.$

Suggest Corrections

Similar questions

The given trinomial $4 x^{2} + 12 x y + 9 y^{2}$

is not a perfect square trinomial.

The given trinomial $4 x^{2} + 12 x y + 9 y^{2}$

is not a perfect square trinomial.

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

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

4 x^{2} + 12 x y + 8 y^{2}

Join BYJU'S Learning Program