Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find the value of $(m + 3) (m + 5)$

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Solution

We need to evaluate $(m + 3) (m + 5)$
Given identity is $(x + a) (x + b) = x^{2} + (a + b) x + a b$
Here $a = 3, b = 5$
Thus we have $(m + 3) (m + 5) = m^{2} + (3 + 5) m + 3 \times 5 = m^{2} + 8 m + 15$

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