# Binomial question

1. Mar 25, 2005

### kollo3

My teacher gave me homework and i gotta convert for ex. (a+b)squared=a squared+ab+b squared, i gotta do this up until to the 15th power. Please anyone have an ez way to do this or a shortcut. PLZ REPLY MY SPRING BREAK IS ALMOST OVER I HAVE LIKE 3 DAYS TO DO THIS

2. Mar 25, 2005

### Data

What is your question? You need to expand

$$(a+b)^2$$

?

Just write it as

$$(a+b)(a+b)$$

and use the properties of multiplication...

3. Mar 25, 2005

### dextercioby

$$(a+b)^{2}=a^{2}+2ab+b^{2}$$ !!

Now,are u interested in that

$$\left[(a+b)^{2}\right]^{15}=(a+b)^{30}$$

,or in that

$$(a+b)^{15}$$

Do you know something about the Newton's binomial formula ...?

Daniel.

4. Mar 25, 2005

### arildno

kollo3:
You know of Newton's binomial formula.
Your teacher is testing you whether you understand how to apply that formula or not.