Evaluate the following using the identity $(a + b) (a - b) = a^{2} - b^{2}$
$(x + 3) (x - 3)$

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Solution

We need to evaluate $(x + 3) (x - 3)$
Given identity is $(a + b) (a - b) = a^{2} - b^{2}$
Here $a = x, b = 3$
Thus we have $(x + 3) (x - 3) = x^{2} - 3^{2} = x^{2} - 9$

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