anonymous
  • anonymous
pls explain to me how to get the answer to (a+b)^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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calculusfunctions
  • calculusfunctions
Do you know pascal's triangle and/or the binomial theorem?
anonymous
  • anonymous
(a+b)^3 = (a+b)(a+b)(a+b) now simply multiply these factors and get the answer
anonymous
  • anonymous
can u help me without using the long method?

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calculusfunctions
  • calculusfunctions
Of course @03453660, but the application of the binomial theorem is a more efficient method?
anonymous
  • anonymous
use binomial theorm
anonymous
  • anonymous
what is that?
calculusfunctions
  • calculusfunctions
@AmberCat21, I ask you once again, do you know pascal's triangle and/or the binomial theorem?
anonymous
  • anonymous
i know pascal's triangle but the binomial theorem....i don't think so
calculusfunctions
  • calculusfunctions
\[(a + b)^{n}=\sum_{r =0}^{n}\left(\begin{matrix}n \\ r\end{matrix}\right)a ^{n -r}b ^{r}\]Have you never seen this before? Do you recognize any part of the equation?
anonymous
  • anonymous
I haven't seen it before but the way my professor taught me was different
calculusfunctions
  • calculusfunctions
@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
  • calculusfunctions
There are four entries in row n = 3 of Pascal's triangle. What are they? Can you tell me please?
calculusfunctions
  • calculusfunctions
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.
anonymous
  • anonymous
Oh so now I get it..There is a pattern used here
calculusfunctions
  • calculusfunctions
Yes, Absolutely! Do you know what it is? Can you tell me what are the entries of row n = 3?
calculusfunctions
  • calculusfunctions
Do you know how the second entry of 2 in row n = 2 came about?
anonymous
  • anonymous
\[\large (a+b)^3 = (a+b)^2 \cdot (a+b)\] \[\large (a+b)^3 = (a^2 + b^2 + 2ab) \cdot (a+b)\] Just multiply it out..
calculusfunctions
  • calculusfunctions
Yes @waterineyes, we already know this but @AmberCat21 asked for a more efficient method.
anonymous
  • anonymous
Then Binomial Theorem is the answer...

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