4. Binomial Expansion Flashcards
1
Q
nCr simplified formula
A
n(n-1)(n-2)…(n-r)/r!
2
Q
(1 + ax)^n binomial
A
1 + nax + n(n-1)/2! (ax)^2 + n(n-1)(n-2)/3! (ax)^3 + …
3
Q
Estimating where you can’t get what you are estimating by a substitution
A
Plug into your calculator and set equal to the estimate then rearrange for what you need to estimate
4
Q
(a+bx)^n method
A
(a(1 + b/a(x)))^n
a^n X (1 + b/a (x))^n
5
Q
Fractions of binomial functions
A
Find each separately and multiply
6
Q
Where is (1+ax)^n binomial valid
A
|ax|< 1