Find the missing terms such that the given polynomial become a perfect square trinomial :
_______ $- 12 x + 9$

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Solution

Here we are supposed to find the missing term in $. . . . . . - 12 x + 9$
So that it becomes perfect square $. . . . . - 2.3.2 x + 3^{2}$
Hence we can say that the blank must contain $(2 x)^{1} = 4 x^{2}$
$∴ 4 x^{2} - 12 x + 9 = (2 x - 3)^{2}$

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