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Question

Using the Identities, simplify the following

(xy+3)(xy-4)


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Solution

Step 1 : We need to identify the identity first, the question is in the form of (x+a)(x+b) which is equal to x2+(a+b)x+ab

so if we compare the question with the identity we get x=xy,a=3andb=-4

Step 2 : Applying the formula

(xy+3)(xy-4)=(xy)2+(3-4)xy+(3×(-4))=(xy)2-xy-12

Hence the solution is (xy)2-xy-12


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