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Question

Using the identity (x+a)(x+b)=x2+(a+b)x+ab, find out the following product:
(xy3)(xy2)

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Solution

using (x+a)(x+b)=x2+ba+(a+b)x
For the above expression, keeping a=3 and b=2, we get
(xy3)(xy2)=(xy)2+(3)(2)+(23)xy=(xy)2+65xy

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