00:03
We're going to expand this binomial using the binomial theorem.
00:07
And in the binomial theorem, there are a lot of patterns.
00:10
One of those patterns is to use a row of pascal's triangle as coefficients.
00:14
So because we're raising this to the fifth, we're using row five of pascal's triangle.
00:19
So we put our coefficients in place 1, 5, 10, 10, 5, and 1.
00:26
And then we have a pattern on the powers of c squared.
00:30
They descend, starting with c squared to the fifth.
00:33
And then c squared to the 4th, and then c squared to the 3rd, c squared squared squared, c squared to the 1st, and then c squared to the 0, which is just 1, so we don't write it...