Check In: Operations with Rational Expressions

Fully simplify to one fraction  $7+\frac{3x}{x+8}$  

•  $\frac{\left(7+3x\right)}{\left(x+8\right)}$  

•  $\frac{10x}{x+8}$  

•  $\frac{\left(10x+56\right)}{x+8}$  

•  $3x+7$  

 $\frac{\left(2x+7\right)}{x-6}+\frac{2}{6-x}$  

Fully simplify to one fraction

•  $\frac{\left(-2x^2+5x+42\right)}{\left(x-6\right)\left(6-x\right)}$  

•  $\frac{\left(2x+9\right)}{x-6}$  

•  $\frac{\left(-2x^2+7x+30\right)}{\left(x-6\right)\left(6-x\right)}$  

•  $\frac{\left(2x+5\right)}{x-6}$  

 $\frac{\left(x+7\right)}{x+5}-\frac{7x}{x^2-3x-40}$  

Fully simplify to one fraction

•  $\frac{\left(x^2-8x-56\right)}{\left(x-8\right)\left(x+5\right)}$  

•  $\frac{\left(x^2+6x-56\right)}{x^2-3x-40}$  

•  $\frac{\left(-6x+7\right)}{\left(x+5\right)}$  

•  $\frac{\left(-6x+7\right)}{\left(x+5\right)\left(x-8\right)}$  

 $\frac{1}{x+3}-5x$  

Fully simplify into one fraction

•  $\frac{\left(-5x^2+15x+1\right)}{x+3}$  

•  $1-5x^2+15x$  

•  $\frac{\left(-5x^2-15x+1\right)}{x+3}$  

•  $\frac{\left(5x^2+15x+1\right)}{\left(x+3\right)\left(x+3\right)}$  

 $\frac{\left(x^3+2x^2-24x\right)}{x^2-14x+40}\cdot\frac{\left(x^2-4x-60\right)}{\left(x+6\right)^2}$  

Fully simplify

Find the LCD of this expression

 $\frac{\left(x+2\right)}{x^2-3x-18}-\frac{5x}{x-6}$  

Perform the following operation and express in simplest form

 $\frac{3x}{x^2+10x+24}\div\frac{\left(x-6\right)}{x^2-36}$  

•  $\frac{3x\left(x^2-36\right)}{\left(x-6\right)\left(x+4\right)\left(x+6\right)}$  

•  $\frac{3x}{x+4}$  

•  $\frac{\left(3x^2-18x\right)}{\left(x^4-26x^2-864\right)}$  

•  $3x^2-18x$  

Divide and simplify

 $\frac{\left(x^2-2x-3\right)}{x^3}\div\frac{\left(x^2-6x-7\right)}{x}$  

•  $\frac{x\left(x+3\right)}{x^3\left(x-7\right)}$  

•  $\frac{\left(x^3-2x^2-3x\right)}{x^5-6x^4-7x^3}$  

•  $\frac{\left(x^2+3x\right)}{x^4-7x^3}$  

•  $\frac{\left(x-3\right)}{x\left(x-7\right)}$