Question
Use the Distributive Property to rewrite the expression and then simplify. 2(x2−x)+6x−3−7x (1 point) Responses −x−3 negative x minus 3 2x2−x−3 2 x squared minus x minus 3 2x2−3x−3 2 x squared minus 3 x minus 3 −4x
Answers
GPT-4o mini
To use the Distributive Property and simplify the expression \( 2(x^2 - x) + 6x - 3 - 7x \), follow these steps:
1. Distribute the \(2\) into the first term:
\[
2(x^2 - x) = 2x^2 - 2x
\]
2. Now, substitute it back into the expression:
\[
2x^2 - 2x + 6x - 3 - 7x
\]
3. Combine like terms. First, combine the \(x\) terms:
\[
-2x + 6x - 7x = -3x
\]
4. Now rewrite the expression, combining everything:
\[
2x^2 - 3x - 3
\]
Thus, the simplified expression is:
\[
\boxed{2x^2 - 3x - 3}
\]
1. Distribute the \(2\) into the first term:
\[
2(x^2 - x) = 2x^2 - 2x
\]
2. Now, substitute it back into the expression:
\[
2x^2 - 2x + 6x - 3 - 7x
\]
3. Combine like terms. First, combine the \(x\) terms:
\[
-2x + 6x - 7x = -3x
\]
4. Now rewrite the expression, combining everything:
\[
2x^2 - 3x - 3
\]
Thus, the simplified expression is:
\[
\boxed{2x^2 - 3x - 3}
\]