Question

Use the Distributive Property to rewrite the expression (3x−5)(2x+2)
.(1 point)
Responses

6x2−4x−10
6 x squared minus 4 x minus 10

6x2−3x−10
6 x squared minus 3 x minus 10

x2−3x−10
x squared minus 3 x minus 10

5x2−2x−3

Answer 1

To use the Distributive Property to rewrite the expression \((3x−5)(2x+2)\), we can expand it as follows:

1. Distribute \(3x\) to both terms in the second parenthesis:
\[
3x \cdot 2x + 3x \cdot 2 = 6x^2 + 6x.
\]

2. Distribute \(-5\) to both terms in the second parenthesis:
\[
-5 \cdot 2x + (-5) \cdot 2 = -10x - 10.
\]

3. Combine all the terms together:
\[
6x^2 + 6x - 10x - 10 = 6x^2 - 4x - 10.
\]

Thus, the expression \((3x−5)(2x+2)\) simplifies to:
\[
6x^2 - 4x - 10.
\]

So the correct response is:
**6x^2 − 4x − 10**.