Question 1057451
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how to factor x^3 - 1
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{{{x^3-1}}} = {{{(x-1)*(x^2 + x + 1)}}}.


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For your INFO:


1. The <B>cube of the sum formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{(a + b)^3 = a^3 + 3a^2*b + 3a*b^2 + b^3}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-sum-formula.lesson>The cube of the sum formula</A> &nbsp;in this site.



2. The <B>cube of the difference formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;{{{(a - b)^3 = a^3 - 3a^2*b + 3a*b^2 - b^3}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-difference.lesson>The cube of the difference formula</A>&nbsp; in this site.



3. The <B>sum of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{a^3 + b^3 = (a + b)*(a^2 - ab + b^2)}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-sum-of-cubes-formula.lesson>The sum of cubes formula</A>&nbsp; in this site.


4. The <B>difference of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{a^3 - b^3 = (a - b)*(a^2 + ab + b^2)}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-difference-of-cubes-formula.lesson>The difference of cubes formula</A>&nbsp; in this site.