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

is not a perfect square trinomial.

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Solution

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

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

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

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

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

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

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

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Similar questions

In each case, find whether the trinomial is a perfect square or not :

$(i) x^{2} + 14 x + 49$ $(i i) a^{2} - 10 a + 25$

$(i i i) 4 x^{2} + 4 x + 1$ $(i v) 9 b^{2} + 12 b + 16$

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

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} + 4 x + 1

Choose the correct answer.

Which one of the following trinomial is not a perfect square?

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