Question

Expand (x + 3)6 using Pascal’s Triangle.

Answer 1

1 6 15 20 15 6 1 maybe?

Answer 2

(x + 3)^6

Answer 3

yeah, thats right; had to recall the 6th row

Answer 4

What?

Answer 5

... you have no idea what you even asking do you :/

Answer 6

pascals triangle is formed from the binomial combonatorics

Answer 7

it can be generated rather simply by adding the 2 entries above

Answer 8

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1

Answer 9

the coeffs for your expansion will come from the 6 row

Answer 10

and the other parts will simply be ascending and descending powers from ^6

Answer 11

Yeah i have no clue what any of this is :/

Answer 12

It's algebra 2 honors -.-

Answer 13

x^6 +6x^5 3 +15x^4 3^2
+20x^3 3^3 +15x^2 3^4 +6x3^5 +3^6

and simplified

Answer 14

.... that is what your question amounts to. And it is helpful for those who ask the questions to have some idea about what it is they are needing :) Makes for a lot less reinventing of the wheel

Answer 15

Yeah well.. I'm learning it. I take online classes, so i don't have a teacher. I have to read it and teach myself.

Answer 16

it aint pretty up there; but youll have to power out the 3s and multiply them to the coeffs to get a proper result. good luck with your studies :)

Answer 17

oh .. and if wolfram can have this done in like seconds

Answer 18

http://www.wolframalpha.com/input/?i=expand+%28x%2B3%29^6

Answer 19

Yeah i tried that. It gave me

x^6 +18x^5 +135x^4 + 540x^3 + 1215x^2 +1458x + 729

Answer 20

So now, i just simplify it by combining like terms?

Answer 21

thats as simplified as it gets .. there are no like terms left

Answer 22

its why its called an "expansion" :)

Answer 23

Damn.. So that's it? That' my answer?

Answer 24

yep

Answer 25

Wow.. Okay. Well thank you :)