Topic 8: Rational Expressions

Try the problem below. After you try the problem, you can watch a video to see a correct solution.
For all \(x\neq\pm 6\), \[\frac{x^2 - 5x -6 } {x^2 โ€“ 36 } =\]
A
\(\displaystyle{\frac{-5x}{6}}\)
B
\(\displaystyle{\frac{x+1}{x+6}}\)
C
\(\displaystyle{\frac{x-3}{x+6} }\)
D
\(\displaystyle{\frac{x+6}{x-12}}\)
E
\(\displaystyle{-5x+\frac{1}{6}}\)
Proportions
Proportions

After watching the video, try this problem to practice more.

Proportions
Proportions
For all \(x\neq\pm 3\), \[\frac{x^2 - 2x โ€“ 15} {x^2 โ€“ 9} =\]
A
\(\displaystyle{\frac{-2x + 5}{3}}\)
B
\(\displaystyle{\frac{x-5}{x+3}}\)
C
\(\displaystyle{\frac{x-5}{x-3}}\)
D
\(\displaystyle{\frac{5}{3}}\)
E
\(\displaystyle{-\frac{5}{3}}\)