Use the Distributive Property to rewrite the expression (3x−5)(2x+2)

Question

.(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.