Use the Distributive Property to rewrite the expression and then simplify. 2(x2−x)+6x−3−7x

Question

A. −x−3
B. 2x2−x−3
C. 2x2−3x−3
D. −4x

GPT-4o mini · Answer

To use the Distributive Property and simplify the expression $2 (x^{2} - x) + 6 x - 3 - 7 x$ , follow these steps:

Apply the Distributive Property to the first term:

$2 (x^{2} - x) = 2 x^{2} - 2 x$
Rewrite the expression with the simplified first term:

$2 x^{2} - 2 x + 6 x - 3 - 7 x$
Combine like terms:
- Combine the $x$ terms: $- 2 x + 6 x - 7 x$ $- 2 x + 6 x = 4 x$ $4 x - 7 x = - 3 x$
Now, rewrite the entire expression with combined like terms:

$2 x^{2} - 3 x - 3$

So, the simplified expression is $2 x^{2} - 3 x - 3$ .

The correct answer is C. 2x^2 - 3x - 3.