Practice - Simplifying Rational Expressions
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Practice Questions
Test your understanding with targeted questions
Factor and simplify \( \frac{x^2 - 4}{x^2 - 5x + 6} \). What is your answer?
💡 Hint: Factor the numerator and denominator!
What are the domain restrictions for \( \frac{x+2}{x-3} \)?
💡 Hint: Look for values that make the denominator zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in simplifying a rational expression?
💡 Hint: Think about what needs to be done first.
True or False: You can cancel factors in the numerator and denominator only after simplifying.
💡 Hint: Remember when you are allowed to cancel.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Simplify \( \frac{x^3 - 4x^2 + 4x}{x^2 - 2x} \) and find the domain restrictions.
💡 Hint: Look for common factors in each part of the fraction.
Consider \( \frac{x^4 - 5x^2 + 4}{x^2 - 4} \). Simplify and state restrictions.
💡 Hint: Factor both the numerator and denominator.
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Reference links
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