Find the missing terms such that the given polynomial become a perfect square trinomial :
$9 x^{2} + 30 x y +$ __________

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Solution

We have find the missing terms such that
$9 x^{2} + 30 x y +$ _
Becomes a perfect square
It can be written as $(3 x)^{2} + 2 (3 x) 5 y +$
Hence $9 x^{2} + 30 x y + 25 y^{2} = (3 x)^{2} + 2.3 x .5 y + (5 y)^{2} = (3 x + 5 y)^{2}$

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