Question
Simplify each rational expression. See Examples 2 through $5 .$$$\frac{3 x^{2}-5 x-2}{6 x^{3}+2 x^{2}+3 x+1}$$
Step 1
The numerator can be factorized into $(3x+1)(x-2)$ and the denominator can be factorized by regrouping the terms into $2x^2(3x+1) + 1(3x+1)$. So, the expression becomes: $$ \frac{(3x+1)(x-2)}{2x^2(3x+1) + 1(3x+1)} $$ Show more…
Show all steps
Your feedback will help us improve your experience
Amy Jiang and 79 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. See Examples 2 through $5 .$ $$ \frac{2 x^{2}-x-3}{2 x^{3}-3 x^{2}+2 x-3} $$
Rational Expressions
Rational Functions and Multiplying and Dividing Rational Expressions
Simplify each rational expression. See Examples 2 through $5 .$ $$ \frac{3 x-6 x^{2}}{3 x} $$
Simplify each rational expression. See Example 4 $$\frac{6 x^{2}-7 x-5}{2 x^{2}+5 x+2}$$
Transition to Intermediate Algebra
Review of Rational Expressions and Rational Equations; Rational Functions 686
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD