This week in math I learned about conjugates.  First of all, a conjugate is a binomial that has a sign that cancels out to make a zero pair.  an example is (X+5)(X-5).  When dealing with conjugates there is a shortcut to solving them. Normally when solving it would look something like this.

After solving it this way we realize that there is a pair that cancels each other out.

So this means if we recognize that the binomial includes a negative and a positive then we can just multiply the first and last pairs.