Simplifying Rational Expressions

Simplify.

 $\frac{\left(2x-5\right)\left(3x+10\right)}{\left(2x-5\right)\left(3x+10\right)}$  

• 1

• 0

• cannot be simplified

• does not exist

Simplify.

 $\frac{\left(3x-5\right)}{3x^2+x-10}$  

• cannot be simplified

•  $\frac{1}{x+2}$  

•  $x+2$  

• 2

Simplify.

 $\frac{x^2+10x+16}{x^2+6x-16}$  

•  $\frac{x-2}{x+2}$  

• 1

•  $\frac{x+2}{x-2}$  

•  $\frac{x+8}{x-8}$  

Simplify.

 $\frac{10x-15}{5x^2+10}$  

• cannot be simplified

•  $\frac{2x-3}{x^2+2}$  

•  $\frac{2x-15}{x^2+10}$  

•  $\frac{3}{2}$  

Simplify.

 $\frac{x^2-64}{2x^2+22x+48}$  

•  $\frac{x-8}{2\left(x+3\right)}$  

•  $\frac{x-8}{x+3}$  

•  $\frac{x+8}{2\left(x+3\right)}$  

•  $\frac{x+8}{x+3}$