A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
24. Simplify the complex fraction.
(5x^3/x+2)/30x^2/x+3)
A) x(x+3)/6(x+2)
B) 6x/ (x+2)(x+3)
C) 150x^5/(x+2)(x+3)
D) x+3/2
25. Divide the following rational expression,
16z^5  12z^4 + 8z^3  6z/2z^2
A) 8z^3  6z^2 + 8z  3z
B) 8z^3  6z^2 + 4z  3/z
C) 8z^3 + 6z^2 + 8z + 3z
D) 10z^5  3
anonymous
 one year ago
24. Simplify the complex fraction. (5x^3/x+2)/30x^2/x+3) A) x(x+3)/6(x+2) B) 6x/ (x+2)(x+3) C) 150x^5/(x+2)(x+3) D) x+3/2 25. Divide the following rational expression, 16z^5  12z^4 + 8z^3  6z/2z^2 A) 8z^3  6z^2 + 8z  3z B) 8z^3  6z^2 + 4z  3/z C) 8z^3 + 6z^2 + 8z + 3z D) 10z^5  3

This Question is Closed

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0@Directrix I'm about to get some sleep, would you mind taking over?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2\[\large \frac{\dfrac{5x^3}{x+2}}{\dfrac{30x^2}{x+3}}\] Remember, when you're dividing by 2 fractions, follow this rule: \[\large \frac{\frac{a}{b}}{\frac{c}{d}} \implies \frac{a}{b} \cdot \frac{d}{c}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2therefore, \( \frac{\dfrac{5x^3}{x+2}}{\dfrac{30x^2}{x+3}}\) becomes...\[=\frac{5x^3}{x+2} \cdot \frac{x+3}{30x^2}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2Now we just cross cancel like terms, \[\frac{\color{red}{5}\color{blue}{x^3}}{x+2} \cdot \frac{x+3}{\color{red}{30}\color{blue}{x^2}}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.2For your second problem: \(\dfrac{16z^5  12z^4 + 8z^3  6z}{2z^2}\) Divide each term in the numerator by the term in the denominator. \[\frac{\color{red}{16}\color{blue}{z^5}}{\color{red}{2}\color{blue}{z^2}} \frac{\color{red}{12}\color{blue}{z^4}}{\color{reD}{2}\color{blue}{z^2}}+\frac{\color{red}{8}\color{blue}{z^3}}{\color{red}{2}\color{blue}{z^2}}\frac{\color{red}{6}\color{blue}{z}}{\color{red}{2}\color{blue}{z^2}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Jhannybean Thanks, I've completed them. :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.