Operations on rational algebraic expressions

Mathematical Equivalence

ON

We Do: Add

 $\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}$  

•  $\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4$  

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5$  

•  $\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-5,\ 3,\ 4$  

•  $\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)}\ ,\ x\ne-4,\ -3,\ 5$  

• None of These

Simplify the expression:

 $\frac{6}{2}+\ \frac{3}{2v-6}$  

•  $\frac{6v-15}{2\left(v-3\right)}$  

•  $\frac{7v-18}{2\left(v-3\right)}$  

•  $\frac{4v-18+v^2}{2\left(v-3\right)}$  

•  $\frac{5}{-2+v}$  

In the algebraic fractions, the numerators and denominators are

• polynomials

• odd numbers

• even numbers

• surds