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calculusfunctionsBest ResponseYou've already chosen the best response.0
Do you know pascal's triangle and/or the binomial theorem?
 one year ago

03453660Best 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
 one year ago

AmberCat21Best ResponseYou've already chosen the best response.0
can u help me without using the long method?
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.0
Of course @03453660, but the application of the binomial theorem is a more efficient method?
 one year ago

calculusfunctionsBest 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?
 one year ago

AmberCat21Best ResponseYou've already chosen the best response.0
i know pascal's triangle but the binomial theorem....i don't think so
 one year ago

calculusfunctionsBest 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?
 one year ago

AmberCat21Best ResponseYou've already chosen the best response.0
I haven't seen it before but the way my professor taught me was different
 one year ago

calculusfunctionsBest 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?
 one year ago

calculusfunctionsBest 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?
 one year ago

calculusfunctionsBest 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.
 one year ago

AmberCat21Best ResponseYou've already chosen the best response.0
Oh so now I get it..There is a pattern used here
 one year ago

calculusfunctionsBest 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?
 one year ago

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

waterineyesBest 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..
 one year ago

calculusfunctionsBest ResponseYou've already chosen the best response.0
Yes @waterineyes, we already know this but @AmberCat21 asked for a more efficient method.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
Then Binomial Theorem is the answer...
 one year ago
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