Q3 of 157 Page 22

Using the identity (x + a)(x + b) = x2 + (a + b)x + ab, find out the following products:

(2 + x) (2 – y)

Given (2 + x) (2 – y)


Using (x + a)(x + b) = x2 + (a + b)x + ab


(2 + x) (2 – y) = (2)2 + (x – y)2 – x×y


⇒ (2 + x) (2 – y) = 4 + 2(x – y) – xy


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