Simplifying rational expressions and restrictions
Simplifying rational expressions and restrictions
A rational expression is a fraction that its numerator and/or denominator are polynomials. In this lesson, we will first learn how to find the nonpermissible values of the variable in a rational expression. Then, we will how to simplify rational expressions.
Lessons
Notes:
$\cdot$ multiplication rule: $x^a \cdot x^b=x^{a+b}$
$\cdot$ division rule: $\frac{x^a}{x^b}=x^{ab}$

1.
For each rational expression:
i) determine the nonpermissible values of the variable, then
ii) simplify the rational expression 
2.
For each rational expression:
i) determine the nonpermissible values of the variable, then
ii) simplify the rational expression 
3.
For each rational expression:
i) determine the nonpermissible values of the variable, then
ii) simplify the rational expression 
4.
The area of a rectangular window can be expressed as $4{x^2} + 13x + 3$, while its length can be expressed as $4x + 1$.

5.
For each rational expression:
i) determine the nonpermissible values for $y$ in terms of $x$ , then
ii) simplify, where possible.