Question
Perform the indicated operations involving rational expressions. Express final answers in simplest form. $\frac{3 x+6}{5 y} \cdot \frac{x^{2}+4}{x^{2}+10 x+16}$
Step 1
The expression $3x+6$ can be factorized to $3(x+2)$ and the expression $x^{2}+10x+16$ can be factorized to $(x+8)(x+2)$. So, the given expression becomes: $\frac{3(x+2)}{5y} \cdot \frac{x^{2}+4}{(x+8)(x+2)}$ Show more…
Show all steps
Your feedback will help us improve your experience
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
Perform the indicated operations involving rational expressions. Express final answers in simplest form. $\frac{5 x y}{x+6} \cdot \frac{x^{2}-36}{x^{2}-6 x}$
Rational Expressions
Multiplying and Dividing Rational Expressions
Perform the indicated operations involving rational expressions. Express final answers in simplest form. $\frac{x^{2}+5 x y-6 y^{2}}{x y^{2}-y^{3}} \cdot \frac{2 x^{2}+15 x y+18 y^{2}}{x y+4 y^{2}}$
Perform the indicated operations involving rational expressions. Express final answers in simplest form. $\frac{x^{2}-x}{4 y} \cdot \frac{10 x y^{2}}{2 x-2} \div \frac{3 x^{2}+3 x}{15 x^{2} y^{2}}$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD