00:01
In this problem, we're being asked to expand the given expression.
00:03
So you have x plus 1 over x being squared.
00:06
Now, even though x plus 1 over x isn't a binomial, we can use one of our special products as a shortcut for squaring this expression.
00:14
So here's how it works.
00:15
It says if we have the quantity of a plus b being squared, the result will be a squared plus 2ab plus b squared, where a is the first term in the parentheses, which in this case would be x, and b is the second term in the prephases, which in this problem is 1 over x.
00:33
So now we'll go ahead and substitute these values into this formula.
00:37
So first, we'll square x, well, that's simply just x squared.
00:41
Then we'll add 2 times a, which is x, times b, which is 1 over x...