Find the product using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ .
$(2 x - 7 y) (2 x + 8 y)$

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Solution

Consider the given equation.
$(2 x - 7 y) (2 x + 8 y)$ ........... (1)

We know that the product identity,
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

Now, from equation (1), we get
$(2 x - 7 y) (2 x + 8 y) = 4 x^{2} + (- 7 y + 8 y) x - 56 y^{2}$
$= 4 x^{2} + 2 x y - 56 y^{2}$

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