A community for students.
Here's the question you clicked on:
 0 viewing
lindseyharrison
 3 years ago
What is the simplified form of x^2  16 / x + 4
lindseyharrison
 3 years ago
What is the simplified form of x^2  16 / x + 4

This Question is Closed

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2Hint: x^2  16 x^2  4^2 (x4)(x+4)

lindseyharrison
 3 years ago
Best ResponseYou've already chosen the best response.0x  4, with the restriction x ≠ 4 x + 4, with the restriction x ≠  4 x  4, with the restriction x ≠  4 x + 4, with the restriction x ≠ 4

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2I'm using the difference of squares rule

lindseyharrison
 3 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 is it A?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2it is x4, but the restriction is not x ≠ 4 since 4 is a perfectly valid input in the original expression

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2x+4 = 0 x = 4 is the value that makes the denominator zero, so this is the restricted value

lindseyharrison
 3 years ago
Best ResponseYou've already chosen the best response.0So it would be C

moha_10
 3 years ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 can u plz explain me more i'm confused

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2which part are you confused about?

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2if you want, you can ask the question in a separate post

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.2\[\Large \frac{x^2  16}{x+4}\] \[\Large \frac{x^2  4^2}{x+4}\] \[\Large \frac{(x4)(x+4)}{x+4}\] \[\Large \frac{(x4)\cancel{(x+4)}}{\cancel{x+4}}\] \[\Large x4\] So \[\Large \frac{x^2  16}{x+4}\] simplifies to \[\Large x4\] Keep in mind that x cannot equal 4 in the original expression. So for the two expressions to be completely equivalent, x cannot equal 4 in the final expression.
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.