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Question

How do you factor x3+1?


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Solution

Factorize using algebraic identity:

According to the algebraic identities,

a3+b3=(a+b)(a2-ab+b2)

So, the given expression can be factorized as follows,

x3+1=x3+13

x3+1=x+1x2-x×1+12

x3+1=x+1x2-x+1

x3+1=x+1x2-x+1

Hence, the factors of x3+1 obtained by using algebraic identity is x+1x2-x+1.


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