combining rational expression with unlike denominators

Perform the indicated operation and simplify:  $\frac{x^2-2x}{x^2+3x-10}+\frac{x-5}{x+5}$  

•  $\frac{2x-5}{x+5}$  

•  $\frac{x-4}{x-2}$  

•  $\frac{2x^2-9x+10}{\left(x+5\right)\left(x-2\right)}$  

•  $\frac{2x^2-2x+10}{\left(x+5\right)\left(x-2\right)}$  

Tags

CCSS.HSA.APR.D.7

Perform the indicated operation and simplify:  $\frac{x^2+5x-34}{x^2-9x+8}-\frac{10}{x-8}$  

•  $\frac{x^2-5x-44}{\left(x-8\right)\left(x-1\right)}$  

•  $\frac{x^2-5x-24}{\left(x-8\right)\left(x-1\right)}$  

•  $\frac{x+6}{x-1}$  

•  $\frac{x+3}{x-1}$  

Tags

CCSS.HSA.APR.D.7

Perform the indicated operation and simplify:  $\frac{1}{x}-\frac{1}{x-3}$  

•  $\frac{2x-3}{x\left(x-3\right)}$  

•  $\frac{1}{3}$  

•  $\frac{1}{x^2}$  

•  $\frac{-3}{x\left(x-3\right)}$  

Tags

CCSS.HSA.APR.D.7

Perform the indicated operation and simplify:  $\frac{7}{x+2}+\frac{4}{x-5}$  

•  $\frac{11}{\left(x+2\right)\left(x-5\right)}$  

•  $\frac{11x-3}{\left(x+2\right)\left(x-5\right)}$  

•  $\frac{11x-33}{\left(x+2\right)\left(x-5\right)}$  

•  $\frac{11x-27}{\left(x+2\right)\left(x-5\right)}$  

Tags

CCSS.HSA.APR.D.7

Perform the indicated operation and simplify:  $\frac{-3x-9}{x^2+x-6}-\frac{x+3}{2-x}$  

•  $\frac{x}{x-2}$  

•  $\frac{-\left(x+6\right)}{x-2}$  

•  $\frac{x^2+3x}{\left(x+3\right)\left(x-2\right)}$  

•  $\frac{-x^2-9x-18}{\left(x+3\right)\left(x-2\right)}$  

Tags

CCSS.HSA.APR.D.7