Question 1121125
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a)    {{{x^7 + y^7}}} = {{{(x+y)*(x^6 - x^5*y + x^4*y^2 - x^3*y^3 + x^2*y^4 - x*y^5 + y^6)}}}.


<pre>
     See the lesson
         <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Factoring-the-binomials-x%5En+a%5En-for-odd-degrees.lesson>Factoring the binomials &nbsp;&nbsp;{{{x^n+a^n}}} for odd degrees</A>
     in this site.
</pre>


b)  &nbsp;&nbsp;{{{w^12 - z^12}}}.


<pre>
     It can be factored in several different ways.  One of the ways is <U>THIS</U>:


        {{{w^12 - z^12}}} = {{{(w^6-z^6)*(w^6+z^6)}}} = {{{(w^3-z^3)*(w^3+z^3)*(w^6+z^6)}}},


     and you can factor {{{(w^3-z^3)}}} further, since you know how to do it.


     For other way see the lesson
         <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Divisibility-of-the-Binomial-%28x%5En-a%5En%29-by-%28x-a%29.lesson>Factoring the binomials &nbsp;&nbsp;{{{x^n-a^n}}}</A>      
     in this site.
</pre>