Binomial Expansion Flashcards
Memorise the basic formula for Binomial Expansion as well as related information
1
Q
What is Binomial Expansion?
A
The expansion of a Polynomial with only two terms which looks like this:
(a+bx)^n
2
Q
What is the formula for Binomial Expansion?
A
(a+bx)^n = a^n + nC1a^(n-1)b^1 x + nC2a^(n-2)b^2 x^2 + … + nC(n-1)a^1 b^(n-1) x^(n-1) +b^n x^n
3
Q
What is the “Choose” function?
A
n Choose r or nCr =
n!/r!*(n-r)!
4
Q
What is nC(n-1)?
A
n
5
Q
What is nC1?
A
n
6
Q
What is nCn?
A
1
7
Q
How do you find combined expansion?
A
Find all the terms up to the power that you want for both expansions and multiply them together.
8
Q
How do you approximate numbers?
A
If you need to approximate a number it will be to the same power as the binomial. You put them as equal to each other and solve for x. Then you substitute x into the expansion and the result is the approximation.
