Operations on rational algebraic expressions

Simplify the expression

• $\frac{(12n^2+28n+4)}{(2n-5)(n+2)}$

• $\frac{(12n^2-28n+4)}{(2n-5)(n+2)}$

• $\frac{(8n)}{(3n+3)}$

• $\frac{(12n^2+2n-3)}{(2n-5)(n+2)}$

Simplify the expression.

 $\frac{x-5}{x-6}+\frac{2}{x+1}$  

•  $\frac{x-7}{\left(x-6\right)\left(x+1\right)}$  

•  $\frac{x^2-2x-17}{\left(x-6\right)\left(x+1\right)}$  

•  $\frac{x-3}{-5}$  

•  $\frac{2x-10}{\left(x+1\right)\left(x-6\right)}$  

What is the sum of the two rational expressions in simplest form?

 $\frac{6}{4x+8}-\frac{3x}{x+2}$  

•  $\frac{-12x+6}{4\left(x+2\right)}$  

•  $\frac{12x-6}{4\left(x+2\right)}$  

•  $\frac{-12x+6}{4\left(x+3\right)}$  

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

• A

• B

• C

• D

What is the first step in simplifying $\frac{1}{6x}-\frac{1}{x^2}$ ?

• Make the denominators of the rational expressions the same by finding the Least Common Denominator (LCD).

• Combine the numerators by the indicated operations (add and/or subtract) then copy the common denominator.

• Multiply the numerators together and the denominators together.

•  $\frac{x-6}{6x^2}$