Text: WEEK I: RATIONAL EXPRESSIONS Dividing rational expressions involving quadratic equations. Divide: (x+3)/(3x-3) ÷ (x^2+4x+3)/(x^2-4x+3) Simplify your answer as much as possible.
Added by Soledad J.
Step 1
The numerator of the first rational expression, x+3, cannot be factored further. The denominator of the first rational expression, 3x-3, can be factored as 3(x-1). The numerator of the second rational expression, x^2+4x+3, can be factored as (x+3)(x+1). The Show more…
Show all steps
Close
Your feedback will help us improve your experience
Victor Salazar and 93 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Simplify each rational expression. $$ \frac{x+3}{3+x} $$
Exponential and Logarithmic Functions
Logarithmic Functions
Divide the rational expressions. $$\frac{x^{4}-x^{3}+x^{2}-x}{2 x^{3}+2 x^{2}+x+1} \div \frac{x^{3}-4 x^{2}+x-4}{2 x^{3}-8 x^{2}+x-4}$$
Rational Expressions and Rational Equations
Multiplication and Division of Rational Expressions
Write the partial fraction decomposition of each rational expression. $$\frac{-3 x^{2}+2-3 x}{x^{3}-x}$$
Systems of Equations and Inequalities
Partial Fractions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD