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Question

Using special products, simplify :

(x-15)(x+11)


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Solution

Step 1: Identification of identity

We need to identify the identity first,

Here, 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=-15,b=11

Step 2 : Applying the formula

(x-15)(x+11)=x2+(-15+11)x+(-15×11)=x2-4x-165

Hence, the product is x2-4x-165.


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