the binomial expansion

Question 1

when do you use the binomial expansion

Answer 1

to expand brackets raised to large powers

Question 2

what does pascals triangle represent

Answer 2

the coefficients in the expansion

Question 3

how does pascals triangle work?

Answer 3

each coefficient is the sum of the two numbers immediately above it

Question 4

what power does the first row of pascals triangle represent

(a+b)^?

Answer 4

(a+b)^0

Question 5

what is factorial notation

Answer 5

factorial notation of a number is the number multiplied by all the numbers below it.

Question 6

what symbol represents factorial notation

Answer 6

! exclamation mark

Question 7

what does 5C2 mean

Answer 7

the number of ways of choosing 2 numbers from a group of 5 numbers

Question 8

what is the formula for factorial notation to find entries in Pascals triangle

Answer 8

nCr = (n = n!
r) / r!(n-r)!

Question 9

what is the formula for the binomial expansion

Answer 9

(a+b)^n = a^n + (n) a^n-1 b + (n) a^n-2 b2
(1) (2)
… the a powers decrease and the b powers increase. the (n 1) dictates the coefficient in pascals triangle