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Question

Using the Identities, simplify the following

(x-5)(x-2)


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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 a=-5andb=-2

Step 2 : Applying the formula

(x-5)(x-2)=x2+(-5-2)x+[(-5)×(-2)]=x2-7x+10

Hence the solution is x2-7x+10


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