91Ó°ÊÓ

Perform the indicated operation and simplify.

$\frac{-3a}{3a-3}+\frac{5a}{a^2+3a-4}$

Perform the indicated operation and simplify.

$\frac{2n^2+8n-1}{n^2-1}-\frac{n^2-7n-1}{1-n^2}$

In the following exercises, divide the rational expressions.

$\frac{x^2+3x-10}{4x}÷\left(2x^2+20x+50\right)$

Perform the indicated operation and simplify.

$\frac{10x^2+16x-7}{8x-3}+\frac{2x^2+3x-1}{3-8x}$

Perform the indicated operation and simplify.

$\frac{{\displaystyle \frac{1}{m}}-{\displaystyle \frac{1}{n}}}{{\displaystyle \frac{1}{n}}+{\displaystyle \frac{1}{m}}}$

Solve the equation.

$\frac{1}{x}+\frac{3}{4}=\frac{5}{8}$

Solve the equation.

$\frac{1}{z-5}+\frac{1}{z+5}=\frac{1}{z^2-25}$

Solve the equation.

$\frac{z}{2z+8}-\frac{3}{4z-8}=\frac{3z^2-16z-16}{8z^2+2z-64}$

Solve the rational inequality and write the solution in interval notation.

$\frac{6x}{x-6}≤2$

Solve the rational inequality and write the solution in interval notation.

$\frac{2x+3}{x-6}>1$