Using the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find out the following product:
$(x y - 3) (x y - 2)$

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Solution

using $(x + a) (x + b) = x^{2} + b a + (a + b) x$
For the above expression, keeping $a = 3$ and $b = 2$ , we get
$(x y - 3) (x y - 2) = (x y)^{2} + (- 3) (- 2) + (- 2 - 3) x y = (x y)^{2} + 6 - 5 x y$

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