Question
Multiply and, if possible, simplify.$$\frac{y^{2}+10 y+25}{y^{2}-9} \cdot \frac{y^{2}+3 y}{y+5}$$
Step 1
The expression $y^{2}+10y+25$ can be factored as $(y+5)^2$, $y^{2}-9$ can be factored as $(y-3)(y+3)$, and $y^{2}+3y$ can be factored as $y(y+3)$. So, the given expression becomes: $$ \frac{(y+5)^2}{(y-3)(y+3)} \cdot \frac{y(y+3)}{y+5} $$ Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 56 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
Multiply and, if possible, simplify. $$\frac{y^{2}-y}{y^{2}+5 y+4} \cdot(y+4)$$
Rational Expressions, Equations, and Functions
Multiplication and Division
Multiply. $$ 4 y^{2}\left(y^{2}+5 y-10\right) $$
Exponents and Polynomials
Multiplying Polynomials
Multiply. $$\frac{y^{2}+2 y+1}{5 y-10} \cdot \frac{y^{2}-3 y+2}{y^{2}-1}$$
Rational Expressions
Multiplication and Division of Rational Expressions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD