Simplify: $\frac { 6 - 3 x } { x - 2 }$
A)3
B)0
C)1
D)-3

Question

Quizplus · Accepted Answer

To simplify the expression, we can use the following steps:

1. Factor out -3 from the numerator:
$$\frac{6-3x}{x-2} = \frac{3(2-x)}{x-2}$$

2. Simplify the negative signs:
$$\frac{3(x-2)}{x-2} = 3$$

However, we need to be careful with dividing by (x-2) since it could be zero. Thus, we can also say that the expression is undefined when x = 2.

Therefore, the answer is D because the simplified expression is -3 and the expression is undefined when x = 2.

Simplify 6−3xx−2\frac { 6 - 3 x } { x - 2 }x−26−3x​