Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find the product of
$(5 x + 3) (5 x + 4)$ .

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Solution

Given identity is $(x + a) (x + b) = x^{2} + (a + b) x + a b$
We need to find product of $(5 x + 3) (5 x + 4)$
Here $a = 3, b = 4$
Hence, it can be simplified as $(5 x + 3) (5 x + 4)$
$= (5 x)^{2} + (3 + 4) 5 x + 3 (4)$
$= 25 x^{2} + 35 x + 12$

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