Question 1081387
Find the coefficient of the term x²y⁶ in the binomial 
expansion of the expression (3x - 2y)⁸
<pre>
{{{(a+b)^n}}}{{{""=""}}}{{{sum(nCk*a^(n-k)b^k,k=0,matrix(1,4,"","",n,""))}}}

For the term in {{{x^2y^6}}}, {{{a=3x}}}, {{{b=-2y}}},  {{{n=8}}},  {{{k=6}}}, {{{n-k=8-6=2}}}

{{{nCk*a^(n-k)b^k}}}{{{""=""}}}{{{8C2*(3x)^2(-2y)^6}}}{{{""=""}}}{{{28*3^2x^2*(-2)^6y^6}}}{{{""=""}}}{{{28*9x^2*(64)y^6}}}{{{""=""}}}{{{16128x^2y^6}}}

Edwin</pre>