Question

Expand and simplify (√3+2)^5. Give your answer in the form a+b√3

Answer 1

use binomial thm:
\[(a+b)^{5} = (5C0) a^{5} + (5C1) a^{4}b+(5C2) a^{3}b^{2}+(5C3)a^{2}b^{3}+(5C4)a b^{4}+(5C5)b^{5}\]

Answer 2

what is \[(5C)?\]

Answer 3

sorry that is notation for combinations
5 choose 0 = 5!/0!5!

5 choose 3 = 5!/3!2!

Answer 4

i assumed you have learned about combinations...you can use a calculator to compute them as well

Answer 5

5!/0!5! = 1

Answer 6

yes

5C0 = 1
5C1 = 5
5C2 = 10
5C3 = 10
5C4 = 5
5C5 = 1

Answer 7

\[(\sqrt{3})^{5}+5(\sqrt{3})^{4}2+10(\sqrt{3})^{3}2^{2}+10(\sqrt{3})^{2}2^{3}+5(\sqrt{3})2^{4}+2^{5}\]

Answer 8

yep, now hard part....simplify

sqrt3 * sqrt3 = 3

Answer 9

oh god ok

Answer 10

to check your answer...i gotta go

http://www.wolframalpha.com/input/?i=%28sqrt%283%29%2B2%29%5E5