Question 229757
find the fifth term in the binomial expansion of (2x - y)^6
<pre><font size = 4 color = "indigo"><b>
The {{{R}}}th term of {{{(A+B)^N}}} is given by
this expression:

{{{(matrix(2,1,N,R-1))A^(N-R+1)B^(R-1)}}}

where {{{(matrix(2,1,p,q))}}} means the same as {{{C(p,q)}}} or {{{pCq}}} 

In your problem {{{A=2x}}}, {{{B=-y}}}, {{{N=6}}}, {{{R=5}}}

So we substitute those and get

 {{{(matrix(2,1,6,5-1))(2x)^(6-5+1)(-y)^(5-1)}}}

{{{(matrix(2,1,6,4))(2x)^(2)(-y)^(4)}}}

{{{(15)(4x^2)(y^4)}}}

{{{60x^2y^4}}}

Edwin</pre>