Question

pls explain to me how to get the answer to (a+b)^3

Answer 1

Do you know pascal's triangle and/or the binomial theorem?

Answer 2

(a+b)^3 = (a+b)(a+b)(a+b)
now simply multiply these factors and get the answer

Answer 3

can u help me without using the long method?

Answer 4

Of course @03453660, but the application of the binomial theorem is a more efficient method?

Answer 5

use binomial theorm

Answer 6

what is that?

Answer 7

@AmberCat21, I ask you once again, do you know pascal's triangle and/or the binomial theorem?

Answer 8

i know pascal's triangle but the binomial theorem....i don't think so

Answer 9

\[(a + b)^{n}=\sum_{r =0}^{n}\left(\begin{matrix}n \\ r\end{matrix}\right)a ^{n -r}b ^{r}\]Have you never seen this before? Do you recognize any part of the equation?

Answer 10

I haven't seen it before but the way my professor taught me was different

Answer 11

@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?

Answer 12

There are four entries in row n = 3 of Pascal's triangle. What are they? Can you tell me please?

Answer 13

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.

Answer 14

Oh so now I get it..There is a pattern used here

Answer 15

Yes, Absolutely! Do you know what it is? Can you tell me what are the entries of row n = 3?

Answer 16

Do you know how the second entry of 2 in row n = 2 came about?

Answer 17

\[\large (a+b)^3 = (a+b)^2 \cdot (a+b)\]

\[\large (a+b)^3 = (a^2 + b^2 + 2ab) \cdot (a+b)\]

Just multiply it out..

Answer 18

Yes @waterineyes, we already know this but @AmberCat21 asked for a more efficient method.

Answer 19

Then Binomial Theorem is the answer...