Loading [MathJax]/jax/output/HTML-CSS/jax.js

Newton’s Binomial Theorem

Newton’s Binomial Theorem

A formula that can be used to find the coefficient of any term in the expansion of the nth power of a binomial of the form (a + b).

The coefficients of the expansion of (a + b)n can be obtained using the numbers from Pascal’s triangle.

Examples

(a + b)1 = (a + b)

(a + b)2 = a2 + 2ab + b2

(a + b)3a3 + 3a2b + 3ab2 + b3

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

Try Buzzmath activities for free

and see how the platform can help you.