# 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.