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

03453660 Group TitleBest 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
 2 years ago

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

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

03453660 Group TitleBest ResponseYou've already chosen the best response.0
use binomial theorm
 2 years ago

AmberCat21 Group TitleBest ResponseYou've already chosen the best response.0
what is that?
 2 years ago

calculusfunctions Group TitleBest 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?
 2 years ago

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

calculusfunctions Group TitleBest 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?
 2 years ago

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

calculusfunctions Group TitleBest 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?
 2 years ago

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

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.0
I'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.
 2 years ago

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

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

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

waterineyes Group TitleBest 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..
 2 years ago

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

waterineyes Group TitleBest ResponseYou've already chosen the best response.0
Then Binomial Theorem is the answer...
 2 years ago
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