Q3 of 157 Page 22

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

(xy – 3) (xy – 2)

Given (xy – 3) (xy – 2)


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


(xy – 3) (xy – 2)= (xy)2 + ( – 3 – 2)xy + ( – 3)×( – 2)


⇒ (xy – 3) (xy – 2)= x2y2 – 5xy + 6


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