Operations on rational algebraic expressions

Find the quotient.
  54y¹⁰ ÷ 6y⁵

• ⁹y¹⁵
• y⁵⁰
• 9y²
• 9y⁵

 $\frac{12g^8h^4}{g^3h^5}$  

•  $\frac{12g^5h}{h}$  

•  $\frac{12g^5h}{h}$  

•  $\frac{12g^5}{h}$  

•  $12g^{11}h^9$  

 $\frac{\ \ \ \frac{2x^2}{x\left(x-1\right)}\ \ \ \ }{\frac{x}{\left(x-1\right)^2}}$  

Solve:

•  $2\left(x-1\right)$  

•  $\frac{2}{x-1}$  

•  $\frac{x-1}{x}$  

•  $\frac{2x^3}{\left(x-1\right)^3}$  

 $\frac{\left(x+6\right)\left(x+3\right)}{\left(x+3\right)}$  

• x+6

• x+3

• (x+6)(x+3)

•  $\frac{x+6}{x+3}$  

Simplify the given complex fraction.

• (1-x)/(x+3)
• (3-x)/(x+1)
• 1/(x+3)
• 3-x

Simplify:  $\left(x^2+5x+4\right)\div\left(x+4\right)$  

•  $x+1$  

•  $x-1$  

•  $x+5$  

•  $x-5$