Answer:
2a^2 + 4a - 6
Explanation:
The FOIL Method is a way to multiply two monomials (aka expand) and each letter has the following meaning:
- F refers to the product of the first terms (2a and a),
- O refers to the product of the outer terms (2a and 3),
- I refers to the product of the inner terms (-2 and a),
- and L refers to the product of the last terms (-2 and 3).
We find all the products and combine like terms to simplify:
(2a * a) + (2a * 3) + (-2 * a) + (-2 * 3)
2a^2 + 6a - 2a - 6
2a^2 + 4a - 6
Thus, 2a^2 + 4a - 6 is the expanded product of (2a - 2)(a + 3).