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

Answer 1

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: \[ \boxed{2x^2 - 3x - 3} \]