Simplify Rational Expressions

(x²+11x+24)/(x²+4x-32)

• A.(x+7)/(x+4)
• B.3/4
• C.(x+3)/(x+4)
• D.(x+3)/(x-4)

Reduce, or simplify

the algebraic fraction.

• x - 3

• -21

• -3

• ( x - 3 ) / ( x )

 $\frac{10x}{x-8}\times\frac{6x\left(x-8\right)}{6x}$  

•  $\frac{5x}{3}$   

•  $\frac{10x}{x-8}$  

• 10x

•  $\frac{6x\left(x-8\right)}{6x}$  

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Divide the Rational Expression

 $\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$  

•  $\frac{9}{k-4}$  
  

•  $\frac{k+7}{8}$  
  

•  $6$  
  

•  $k-3$  
  

 $\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$  

•  $4x^2+3x-5$  

•  $4x^2+3x^{1.5}-5x$  

•  $6x^2+4x-12$  

•  $6x^2+4x^{1.5}-12x$  

 $\frac{\left(15mn^2+30m^3n^4+45n^5\right)}{5}$  

•  $10mn^2+25m^3n^4+40n^5$  

•  $20mn^2+35m^3n^4+54n^5$  

•  $15mn^2+6m^3n^4+45n^5$  

•  $3mn^2+6m^3n^4+9n^5$  

What is  $10h^4k^2+20h^3k^3+30h^2k^4$  divided by  $10hk$  ?

•  $20h^5k^3+30h^4k^4+40h^3k^5$  

•  $h^3k+2h^2k^2+3hk^3$  

•  $h^4k^2+2h^3k^3+3h^2k^4$  

•  $0h^3k+10h^2k^2+20hk^3$  

Multiply and Simplify 

 $\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$  

•  $\frac{4\left(x+3\right)}{x+2}$  

•  $\frac{x+2}{4\left(x+1\right)}$  

•  $\frac{x+2}{4\left(x+3\right)}$  

•  $\frac{4\left(x+1\right)}{x+2}$  

Multiply the expressions

 $\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$  

•  $n-1$  

•  $\frac{2\left(n-1\right)}{n+3}$  

•  $2\left(n-1\right)$  

•  $1$