How do you write #x^3-1# in factored form?

1 Answer
EZ as pi
Apr 16, 2018

#x^3 -1 = (x-1)(x^2 +x +1)#

Explanation:

This is a type of factorising called the the sum or difference of two cubes:

#a^3 - b^3 = (a-b)(a^2+ab +b^2)#

The sum of cubes is factored as:

#a^3 + b^3 = (a+b)(a^2-ab +b^2)#

In this case we have: #x^3 -1# so follow the rule above.

#x^3 -1 = (x-1)(x^2 +x +1)#

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