The Binomial Expansion Theorem is an algebra formula that describes the algebraic expansion of powers of a binomial. According to the binomial expansion theorem, it is possible to expand any power of x + y into a sum of the terms.
The Binomial Expansion Formula or Binomial Theorem is given as:
Solved Example
Question : What is the value of (2 + 5)3 ?
Solution:
The binomial expansion formula is,
(x + y)n = xn + nxn-1y +
From the given equation,
x = 2 ; y = 5 ; n = 3
(2 + 5)3
= 23 + 3(22)(51) +
= 8 + 3(4)(5) +
= 8 + 60 + 150 + 125
= 343
Comments