QuestionIdentify which of the following expressions equals 1 and which equals -1:
$$\frac{x+3}{3+x} \quad \frac{3-x}{x-3}$$

Studdy Solution
Now, the numerator and the denominator are the same, just with a negative sign in front of the numerator. Therefore, this expression simplifies to -1 for all x except3 (as division by zero is undefined).
$$\frac{-(x-3)}{x-3} = -1$$So, the expression $\frac{x+3}{3+x}$ reduces to1 and the expression $\frac{3-x}{x-3}$ reduces to -1.