Question
Write each rational expression in lowest terms. See Examples 3(b) and 4.$$\frac{y^{2}-5 y-14}{y^{2}+y-2}$$
Step 1
The numerator $y^{2}-5y-14$ can be factored as $(y-7)(y+2)$ and the denominator $y^{2}+y-2$ can be factored as $(y-1)(y+2)$. So, the expression becomes: $$ \frac{(y-7)(y+2)}{(y-1)(y+2)} $$ Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 99 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
Write each rational expression in lowest terms. See Examples 3 and 4. $$ \frac{y^{2}-5 y-14}{y^{2}+y-2} $$
Rational Expressions and Applications
The Fundamental Property of Rational Expressions
Write each rational expression in lowest terms. $$ \frac{y^{2}-5 y-14}{y^{2}+y-2} $$
Write each rational expression in lowest terms. See Examples 3(b) and 4. $$ \frac{4(y-2)}{10(y-2)} $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD