How do you simplify # (-8-sqrt7)(-4+sqrt7)#?
Use the FOIL method in order to simplify the two binomials.
The FOIL method can be used when multiplying two binomials together. FOIL stands for First, Outsides, Insides, and Last. Let's go through each one together.
Firsts talk about the first term in each binomial. In this case, it's
Next is Outsides, which are the first term in the first binomial and the second term in the second binomial (-8 and
Next is Insides, the "inside" terms. Those terms are the two terms we didn't multiply in the Outsides, which are
Lastly, we have, well, Last. They are the second terms in the binomials (
Now to wrap it all up. We now take all of the answers we got and add them: