In each case, state True if the trinomial is a perfect square else state False.
$9 b^{2} + 12 b + 16$

True

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False

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Solution

The correct option is B False
For the trinomial to be a perfect square, we should be able to write it in the form of $a^{2} + 2 a b + b^{2}$
$9 b^{2} + 12 b + 16 = {(3 b)}^{2} + 2 \times 2 \times (3 b) + 4^{2}$
The term $2 a b$ should have been, $2 \times 4 \times (3 b)$ , for the given trinomial to be a perfect square.
Since, it cannot be written in the given format, it is not a perfect square.

The answer is FALSE

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