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

# Simplifying Rational Expressions: A Comprehensive Guide Unlock the secrets of simplifying rational expressions with our step-by-step approach. Learn to factor, identify restrictions, and cancel common terms. Elevate your algebra skills and tackle complex problems with confidence.

Examples

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- 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.