Adding and Subtracting Rational Expressions

Simplify the expression.

 $\frac{5y}{6xy}+\frac{4x}{3y^2}$  

•  $\frac{5y+4x}{6xy+3y^2}$  

•  $\frac{20xy}{18xy^3}$  

•  $\frac{5y^2+8x^2}{6xy^2}$  

•  $\frac{10y+2}{9y^3}$  

Simplify the expression. 

 $\frac{3}{p+5}-\frac{4}{p+3}$  

•  $\frac{-1}{\left(p+3\right)\left(p+5\right)}$  

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

•  $\frac{-1}{\left(p+3\right)^2\left(p+5\right)^2}$  

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

Simplify the expression.

 $\frac{5x}{2x+4}+\frac{x+2}{3x-6}$  

•  $\frac{15x^2-30x+8}{\left(x+2\right)\left(x-2\right)}$  

•  $\frac{5x^2+10x}{6x^2-24}$  

•  $\frac{6x+2}{\left(x+2\right)^2}$  

•  $\frac{17x^2-22x+8}{6\left(x+2\right)\left(x-2\right)}$  

Simplify the expression.
 $\frac{x+10}{3x-15}-\frac{3x+15}{6x-30}$  

•  $\frac{15\left(x+5\right)\left(x-3\right)}{6\left(3x^2-20x+75\right)}$  

•  $\frac{-2x-5}{-3x+15}$  

•  $-\frac{1}{6}$  

•  $\frac{1}{3}$  

Simplify the expression.

 $\frac{m^2-7m-18}{m^2-10m+9}+\frac{6}{m-1}$  

•  $\frac{6\left(m+2\right)}{\left(m-1\right)^2}$  

•  $\frac{m^2-7m-12}{\left(m-1\right)^2}$  

•  $\frac{\left(m-9\right)\left(m+2\right)}{m-1}$  

•  $\frac{m+8}{m-1}$