Evaluate by using identity $(a + b) (a - b) = a^{2} - b^{2}$
$(5 a + 3 b) (5 a - 3 b)$

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Solution

We need to evaluate $(5 a + 3 b) (5 a - 3 b)$
Given identity is $(a + b) (a - b) = a^{2} - b^{2}$
Here $a = 5 a, b = 3 b$
Thus we have $(5 a + 3 b) (5 a - 3 b) = (5 a)^{2} - (3 b)^{2} = 25 a^{2} - 9 b^{2}$

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