Carcass wrote:
If \(|3x| \neq 2\), what is the value of \(\frac{9x^2-4}{3x+2} - \frac{9x^2-4}{3x-2}\) ?
A. -9
B. -4
C. 0
D. 4
E. 9
FASTER APPROACHNotice that we're asked to evaluate the expression.
Since all of the answer choices are actual numbers, it must be the case that the expression evaluates to be one of the answer choices
FOR ALL VALUES OF XSo, let's plug in a nice value for x (one that will make it super easy to evaluate the expression)
How about
x = 0The expression becomes: \(\frac{9(0)^2-4}{3(0)+2} - \frac{9(0)^2-4}{3(0)-2}\)
Evaluate numerators and denominators to get: \(\frac{-4}{2} - \frac{-4}{-2}\)
Evaluate more to get: \(-2 - 2\)
Evaluate to get: \(-4\)
Answer: B
Cheers,
Brent