Binomial Expansion

Question 1

How would you use binomial expansion to expand (a + b)ⁿ ?

Answer 1

‘a’ is the term containing x
‘b’ is the constant term

Use the ⁿ C 𝑟 button on your calculator
Down with the powers of ‘a’ from n to 0
Up with the powers of ‘b’ from 0 to n

Rewrite your table of values as a simplified version, then multiply down.

Final, the answer must be written clearly and separately, with the terms added together.

Question 2

What should you check for in the binomial expansion exam question?

Answer 2

Check to see if the exam wants all terms, ascending powers, descending powers, a particular power, or just a coefficient.