00:01
Okay, so we'll use our binomial theorem to expand our following expression.
00:05
So let's first note that our n value is 6.
00:08
Our first term is x, and our second term is negative 2.
00:13
So we have 6 to 0, x to the power of 6, and negative 2 to the power of 0.
00:19
And then we have 6 choose 1, x to 2 to the power of 5, and negative 2 to the power of 1.
00:25
And then 6 to choose 2, x to power of 4, and negative 2 to the power of 2.
00:31
And then we have 6 to choose 3 x to the power of 3 negative 2 to the power of 3 6 choose 4 x to 5 5 x to the power of 1 and negative 2 to the power of 5 and lastly 6 choose 6 and negative 2 to the power of 6.
00:55
So let's simplify this.
00:57
So 6 choose 0, that's 1.
00:59
So we get x to the power of 6...