FOIL
To multiply binomials, we use a special method called FOIL.
FOIL stands for:
So let's apply this to our problem.
The first terms are 3x and 4x. Multiplying them, we get 12x².
The outside terms are 3x and -10. Multiplying them, we get -30x.
The inside terms are 10 and 4x. Multiplying them, we get 40x.
The last terms are 10 and -10. Multiplying them, we get -100.
Combining all the terms, I get 12x² -30x + 40x - 100.
Combining the x terms: 12x² + 10x - 100.
- Therefore, the solution is
.

