Operations with Rational Expressions

These videos show how to perform operations with rational expression such as subtraction, multiplication, and division and then simplify the resulting expression.

Exercises

1.

\[\frac{x-7}{x+6}, \quad x \ne -6,1\]

2.

\[\dfrac{-x+21}{(x-5)(x+5)(x-1)}\]

3.

\[\frac{(x-1)^2(x+1)}{x(2x+5)(x-3)(x+2)}, \quad x \neq \frac{5}{2}\]

4.

\[\frac{12}{5} , \quad x \ne -\frac{1}{2}, 0,  \frac{1}{2}, 1\]

5.

\[\frac{2\left(x^2+4x+10\right)}{(x+5)(x-1)}, \quad x\neq -5,1\]