Identities

 

14. ΣAi²=0

A1=A2=A3...=An=0

15. aⁿ-bⁿ

=(a-b)(aⁿ⁻¹+aⁿ⁻²b+aⁿ⁻³b²...+bⁿ⁻¹)

n belongs to natural number.

16. aⁿ+bⁿ

=(a+b)(aⁿ⁻¹ - aⁿ⁻²b + aⁿ⁻³b² - aⁿ⁻⁴b³...+bⁿ⁻¹)

For n belongs to odd numbers.

Sophie Germain Identity

BINOMIAL theorem 

It is called the binomial coffecient .

'!' indicates factorial

Illustration