Answer:
2x^2 + 8x - 24
Explanation:
Hello!
For this equation, where we have two binomials next to each other, we use the FOIL method.
FOIL stands for:
First
Outside/Outer
Inside/Inner
Last
This gives us the order in which we multiply two terms. In this equation, it goes as shown below:
x * 2x (The first terms in the parentheses)
x * -4 (The first term and the last term, on the outside)
6 * 2x (The last term and first term, on the inside)
6 * -4 (The last terms in the parentheses)
We multiply them together, into one LONG equation, and simplify from there:
x * 2x + x * -4 + 6 * 2x + 6 * -4
Although that looks intimidating, we just solve it step by step, term by term.
x * 2x = 2x^2
x * -4 = -4x
6 * 2x = 12x
6 * -4 = -24
2x^2 - 4x + 12x - 24
Much better! Now, we can combine like terms, and we will be done!
2x^2 + 8x - 24
Hope I helped!
-Mary