Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find out the following product:
$(8 x - 5) (8 x - 2)$

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Solution

using $(x + a) (x + b) = x^{2} + b a + (a + b) x$
For the above expression, keeping $a = 8 x$ and $b = 2$ , we get
$(8 x - 5) (8 x - 2) = (8 x)^{2} + 10 + (- 5 - 2) 8 x = 64 x^{2} + 10 - 56 x$

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