Operations on rational algebraic expressions

Simplify the expression. 

 $\frac{3}{p+5}-\frac{4}{p+3}$  

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

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

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

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

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2/(x-2) + x/(x-2)

• 2 + x

• (2+x) /(x-2)

• (2 + x) / (x² - 4)

• 3x / (x-2)

Find the LCD of the following rational expression

 $\frac{5}{x+8}$ and $\frac{2x}{x-3}$ ? 

• (x+8)(x-3)

• 8x(x+2)

• (x²+3x+24)

•  $\left(x^2-3x-24\right)$  

Write the following sum in simplest form:

 $\frac{9x}{21}+\frac{x+7}{7}$  

•  $12x$  

•  $\frac{12x+7}{21}$  

•  $\frac{12x+21}{21}$  

•  $\frac{84x+147}{147}$  

Simplify:  $\frac{9}{2n^2}-\frac{5}{2n^2}$  

•  $\frac{2}{n^2}$  

•  $\frac{4}{n^2}$  

•  $\frac{4}{n}$  

•  $\frac{2}{n}$