Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$
to find $(4 x - 5) (4 x - 1)$ .

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Solution

The given identity is:
$(x + a) (x + b) = x^{2} + (a + b) x + a b$
So, using the same identity, the expansion of the given expression is given as:
$(4 x - 5) (4 x - 1) = (4 x)^{2} + (- 5 - 1) x + (- 5) (- 1)$
$= 16 x^{2} - 6 x + 5$

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