The Binomial Expansion

• 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