Question
In the case find whether the trinomial is a perfect square or not: $9b^2 + 12b + 16$
✓
Answer
$9b^2 + 12b + 16$
$= (3b)^2 + 3b \times 4 + (4)^2$
$= x^2 + xy + y^2 ... [$Taking $3b = x$, and $4 = y]$
$\therefore $The given trinomial cannot be expressed as $x^2 + 2xy + y^2$ .
Hence, it is not a perfect square.
$= (3b)^2 + 3b \times 4 + (4)^2$
$= x^2 + xy + y^2 ... [$Taking $3b = x$, and $4 = y]$
$\therefore $The given trinomial cannot be expressed as $x^2 + 2xy + y^2$ .
Hence, it is not a perfect square.
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