Question

Multiple Choice

What is the simplified form of (x-2)(2x +3)? Use the Distributive Property.
(1 point)
O 2x²-x-6
O 2²-6
02x²2-7x-6
O 2x²+x-6

Answer 1

The simplified form of (x-2)(2x+3) is 2x^2 - x - 6.

Step-by-step explanation:

To simplify the expression (x-2)(2x+3) using the Distributive Property, we multiply each term in the first parenthesis by each term in the second parenthesis and then combine like terms.

We have:

1. Multiply the first terms: x * 2x = 2x^2
2. Multiply the outer terms: x * 3 = 3x
3. Multiply the inner terms: -2 * 2x = -4x
4. Multiply the last terms: -2 * 3 = -6

Combine these terms: 2x^2 + 3x - 4x - 6 = 2x^2 - x - 6

Therefore, the simplified form of (x-2)(2x+3) using the Distributive Property is 2x^2 - x - 6.

Learn more about Simplifying expressions using the Distributive Property