# Simplifying rational expressions and restrictions

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##### Intros

###### Lessons

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##### Examples

###### Lessons

- For each rational expression:

i) determine the non-permissible values of the variable, then

ii) simplify the rational expression - For each rational expression:

i) determine the non-permissible values of the variable, then

ii) simplify the rational expression - For each rational expression:

i) determine the non-permissible values of the variable, then

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

i) determine the non-permissible values for $y$ in terms of $x$ , then

ii) simplify, where possible.

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###### Topic Notes

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 non-permissible values of the variable in a rational expression. Then, we will how to simplify rational expressions.

$\cdot$ multiplication rule: $x^a \cdot x^b=x^{a+b}$

$\cdot$ division rule: $\frac{x^a}{x^b}=x^{a-b}$

$\cdot$ division rule: $\frac{x^a}{x^b}=x^{a-b}$

###### Basic Concepts

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