Worksheet to Expand (a+b)^n

This worksheet may help you know about how to expand (a + b) ⁿ and find formula. The binomial theorem is used to expand the formula. It is possible to expand the power (a + b)ⁿ by using Pascal's Triangle Equation. Here we explain how to expand the (a + b)ⁿ.
Step1: Make the triangle shape by using 1 on the exterior part of the triangle.
Step2: The below values are coefficient of A & B. The power of A is decreases from n to 0 & the power of B is increases from 0 to n.

 (a + b)                                      1   1 

 (a + b)2                                 1    2     1        

 (a + b) 3                            1     3      3      1     

 (a + b) 4                       1      4      6      4        1           

And so on.

To get the expansion of (a-b)ⁿ put the minus(-) sign alternatively like ( + - + )so on order.
For Example:
Expand the (A + B)ⁿ for n = 4.
(A + B) ⁴
= A⁴ + A³ B¹ + A² B² + A¹ B³ + B⁴
.
For (A-B)⁴
= A⁴ - A³ B¹ + A² B² - A¹ B³ + B⁴

The above worksheet is a walk through to understand how to expand (a+b)ⁿ. When it comes to online calculation, this (A+B)ⁿ Formula Expander is used to find formula for (A+B)ⁿ.