Binomial Expansion

Question 1

How to do binomial expansion

Answer 1

1) ncr to find Pascal triangle coeffeicmtd
2) first coefficient starts with power of n and each term goes down by 1, and second starts by q and each goes up. Each term should at to power of n

Question 2

What does ncr mean

Answer 2

You want to see how many times a coeffeicnt repeats to make it that

So how many times can I chose x from y
Ycn

Question 3

NCR what ade you doing

Answer 3

Finding the unique combinations as there could be a certain amount if ways that it could be the same

Question 4

10c8 = 10c2 by symmetry

Question 5

How to do approximations for when x is small

Answer 5

Here expand terms to give you first few , because after that values are just so so small yiu don’t need them

Sub in expansion find value

Then actually sub it in

And compare

Find it where they are both true to the same decimal places / or percentage difference

Question 6

How to find out percentage error formula

Answer 6

Always x- ACTUAL/actual

As in if estimate is higher it will be positive, if lower negative

Question 7

How to check your answer to an expansion of function?

Answer 7

In out a number in to unexpsnded before
And now into expanded
As long as they produce the same number each time then correct

Question 8

A rule! An expansion of power n will have how many terms?

So if it has 8 terms what’s n? 7

Answer 8

N+1!

Useful in the constants questions