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

is not a perfect square trinomial.

True

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False

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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

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