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Question
In the case find whether the trinomial is a perfect square or not:
9b2 + 12b + 16
Sum
Solution
9b2 + 12b + 16
= (3b)2 + 3b × 4 + (4)2
= x2 + xy + y2 ...[Taking 3b = x, and 4 = y]
∴ The given trinomial cannot be expressed as x2 + 2xy + y2 . Hence, it is not a perfect square.
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Factorising a Perfect Square Trinomial
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