Question 1087576
.
<pre>
{{{(x+y)^6}}} = {{{x^6}}} + {{{C[6]^5*x^5*y}}} + {{{C[6]^4*x^4*y^2}}} + {{{C[6]^3*x^3*y^3}}} + {{{C[6]^2*x^2*y^4}}} + {{{C[6]^1*x*y^5}}}  + {{{C[6]^0*y^6}}} = 

       = {{{x^6}}} + {{{6x^5*y}}} + {{{15x^4*y^2}}} + {{{20x^3*y^3}}} + {{{15x^2*y^4}}} + {{{6x*y^5}}} + {{{y^6}}}.
</pre>

On binomial expansion and binomial coefficients see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Binomial-Theorem.lesson>Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Remarkable-identities-for-Binomial-Coefficients.lesson>Remarkable identities for Binomial Coefficients</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/The-Pascal-triangle.lesson>The Pascal's triangle</A>

in this site.



Also, you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the topic
"<U>Binomial expansion, binomial coefficients, Pascal's triangle</U>".