Save
Edexcel Alevel: Maths
Pure
The Binomial Expansion
Save
Share
Learn
Content
Leaderboard
Learn
Created by
ale
Visit profile
Cards (5)
If brackets have a negative term:
The expansion will have alternating positive then negative terms
A square root gives
two
values;
positive
and
negative
To find the terms of a binomial expansion on calculator; use the formula
nCr
E.g ( 1 + x )^6
1st step:
1^6 + (10 1) 1^5 x + (10 2) 1^4 x^2 + (10 3) 1^3 x^3 + (10 4) 1^2 x^4 + (10 5) 1 x^5 + (10 6) x^6
Estimation with binomial expansion:
E.g (1 - x)^n , estimation for (0.975)^n
1st step:
solve for x
1 - x = 0.975
2nd step:
sub x in expansion
= the value is the estimation