A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
green
anonymous
 3 years ago
green

This Question is Closed

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0I know about Pascal's triangle, but I don't know if that's what you're referring to.

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Sure, do need an explanation of what it is, or do you have a problem you want me to look at?

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Sure, do you know how to expand a binomial (something)^2?

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, let's start there then. Say you have something like (x + y)^2 and we want to expand that. You can rewrite (x + y)^2 so that it's like: (x + y)(x + y) Make sense so far?

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Good, now we're going to multiply the first x in (x + y) to BOTH the (x + y) in the other term to get: x^2 + xy dw:1358369073609:dw

precal
 3 years ago
Best ResponseYou've already chosen the best response.0pascal's triangle is use to expand

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Great, then we move on and do the same thing with the first y. and get xy + y^2, so in total we have x^2 + xy + xy + y^2

precal
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358369198853:dwdo you see the pattern?

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0@precal, that's what im attempting to show. thanks for the visual though :)

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0perfect, so we have x^2 + xy + xy + y^2 which equals x^2 + 2xy + y^2, which is what precal's picture shows

precal
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358369387693:dwthen notice what is happening to the x powers and then the y powers

precal
 3 years ago
Best ResponseYou've already chosen the best response.0x powers start at 2 while y start at 0

precal
 3 years ago
Best ResponseYou've already chosen the best response.0this is the pattern you will follow for you problem

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0Now, if we wanted to take that further like (x +y)^3 (like your problem) we can do two things.

precal
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358369548166:dwyou will use the 3rd row

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0We could multiply (x + y)(x^2 + 2xy + y^2) And do the EXACT same thing like how we were multiplying the x to the second term and then the y to the second term.

blurbendy
 3 years ago
Best ResponseYou've already chosen the best response.0That would give us the correct answer, OR we could use the pattern precal is showing us.

precal
 3 years ago
Best ResponseYou've already chosen the best response.0be careful with your second term because of the negative, just simplify and you are done
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.