Question 1177630
.


Every student must know that


<pre>
    (1+x)*(1-x+x^2) = 1 + x^3.
</pre>

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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)}}}.


For details and examples of applications of this formula see the lesson 

&nbsp;&nbsp;&nbsp;&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> 

in this site.