Question
Use the Distributive Property to rewrite the expression and then simplify. 2(x2−x)+6x−3−7x
−x−3
2x2−x−3
2x2−3x−3
−4x
−x−3
2x2−x−3
2x2−3x−3
−4x
Answers
GPT-4o mini
To rewrite the expression \( 2(x^2 - x) + 6x - 3 - 7x - x - 3 \) using the Distributive Property and then simplify, follow these steps:
1. **Apply the Distributive Property**:
\[
2(x^2 - x) = 2x^2 - 2x
\]
2. **Substituting back into the expression** gives:
\[
2x^2 - 2x + 6x - 3 - 7x - x - 3
\]
3. **Combine like terms**:
\[
2x^2 + (-2x + 6x - 7x - x) - 3 - 3
\]
- For the \(x\) terms:
\(-2x + 6x - 7x - x = -2x - 2x = -4x\)
- For the constant terms:
\(-3 - 3 = -6\)
4. **Writing out the full expression**:
\[
2x^2 - 4x - 6
\]
Thus, the simplified expression is:
\[
2x^2 - 4x - 6
\]
Given the options you provided, none of them match exactly with our simplified expression \(2x^2 - 4x - 6\). Could you double-check the available answers?
1. **Apply the Distributive Property**:
\[
2(x^2 - x) = 2x^2 - 2x
\]
2. **Substituting back into the expression** gives:
\[
2x^2 - 2x + 6x - 3 - 7x - x - 3
\]
3. **Combine like terms**:
\[
2x^2 + (-2x + 6x - 7x - x) - 3 - 3
\]
- For the \(x\) terms:
\(-2x + 6x - 7x - x = -2x - 2x = -4x\)
- For the constant terms:
\(-3 - 3 = -6\)
4. **Writing out the full expression**:
\[
2x^2 - 4x - 6
\]
Thus, the simplified expression is:
\[
2x^2 - 4x - 6
\]
Given the options you provided, none of them match exactly with our simplified expression \(2x^2 - 4x - 6\). Could you double-check the available answers?