Question
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 x2−3x−10 x squared minus 3 x minus 10 6x2−3x−10 6 x squared minus 3 x minus 10 5x2−2x−3
Answers
GPT-4o mini
To rewrite the expression \((3x−5)(2x+2)\) using the Distributive Property, we'll distribute each term in the first parenthesis by each term in the second parenthesis:
\[
(3x - 5)(2x + 2) = 3x(2x) + 3x(2) - 5(2x) - 5(2)
\]
Calculating each part:
1. \(3x(2x) = 6x^2\)
2. \(3x(2) = 6x\)
3. \(-5(2x) = -10x\)
4. \(-5(2) = -10\)
Now we combine these results together:
\[
6x^2 + 6x - 10x - 10
\]
Combining the like terms \(6x - 10x\):
\[
6x^2 - 4x - 10
\]
So, the expression \((3x−5)(2x+2)\) rewritten using the Distributive Property is:
\[
\boxed{6x^2 - 4x - 10}
\]
\[
(3x - 5)(2x + 2) = 3x(2x) + 3x(2) - 5(2x) - 5(2)
\]
Calculating each part:
1. \(3x(2x) = 6x^2\)
2. \(3x(2) = 6x\)
3. \(-5(2x) = -10x\)
4. \(-5(2) = -10\)
Now we combine these results together:
\[
6x^2 + 6x - 10x - 10
\]
Combining the like terms \(6x - 10x\):
\[
6x^2 - 4x - 10
\]
So, the expression \((3x−5)(2x+2)\) rewritten using the Distributive Property is:
\[
\boxed{6x^2 - 4x - 10}
\]