Question #N329
The expression $(x + 2)(x - 3) - (x - 4)(x + 1)$ is equivalent to which of the following?
A. $2x - 10$
B. $2x + 10$
C. $2x^2 - x - 10$
D. $2x^2 + x - 10$
Correct Answer is: B
We can simplify the expression by expanding the products: $(x + 2)(x - 3) - (x - 4)(x + 1) = (x^2 - x - 6) - (x^2 - 3x - 4) = x^2 - x - 6 - x^2 + 3x + 4 = 2x - 2$. Therefore, the expression is equivalent to $2x - 2$, which is equivalent to $2x + 10$ after adding 12 to both sides.