A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
AmberCat21
 2 years ago
pls explain to me how to get the answer to (a+b)^3
AmberCat21
 2 years ago
pls explain to me how to get the answer to (a+b)^3

This Question is Closed

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know pascal's triangle and/or the binomial theorem?

03453660
 2 years ago
Best ResponseYou've already chosen the best response.0(a+b)^3 = (a+b)(a+b)(a+b) now simply multiply these factors and get the answer

AmberCat21
 2 years ago
Best ResponseYou've already chosen the best response.0can u help me without using the long method?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Of course @03453660, but the application of the binomial theorem is a more efficient method?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0@AmberCat21, I ask you once again, do you know pascal's triangle and/or the binomial theorem?

AmberCat21
 2 years ago
Best ResponseYou've already chosen the best response.0i know pascal's triangle but the binomial theorem....i don't think so

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0\[(a + b)^{n}=\sum_{r =0}^{n}\left(\begin{matrix}n \\ r\end{matrix}\right)a ^{n r}b ^{r}\]Have you never seen this before? Do you recognize any part of the equation?

AmberCat21
 2 years ago
Best ResponseYou've already chosen the best response.0I haven't seen it before but the way my professor taught me was different

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0@AmberCat21, no problem, don't worry about it. You said you know Pascal's triangle, correct? Then what are the entries in the row that corresponds to n = 3 in Pascal's triangle?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0There are four entries in row n = 3 of Pascal's triangle. What are they? Can you tell me please?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0I'll get you started. In row n = 0, 1 In row n = 1, 1 1 In row n = 2, 1 2 1 Then following this pattern, what are the entries of row n = 3? @AmberCat21, I am awaiting your response.

AmberCat21
 2 years ago
Best ResponseYou've already chosen the best response.0Oh so now I get it..There is a pattern used here

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, Absolutely! Do you know what it is? Can you tell me what are the entries of row n = 3?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know how the second entry of 2 in row n = 2 came about?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large (a+b)^3 = (a+b)^2 \cdot (a+b)\] \[\large (a+b)^3 = (a^2 + b^2 + 2ab) \cdot (a+b)\] Just multiply it out..

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Yes @waterineyes, we already know this but @AmberCat21 asked for a more efficient method.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0Then Binomial Theorem is the answer...
Ask your own question
Ask a QuestionFind 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.