# How do you factor #y^3-3y^2+3y-1#?

##### 2 Answers

#### Answer:

#### Explanation:

The 1, 3, 3, 1 pattern is a giveaway.

In general,

More generally, you can expand

For example:

#### Answer:

#### Explanation:

A quick inspection reveals that if

Therefore

and

Therefore

Note that this could also have been solved if you recognized the pattern of the given expression as a row from Pascal's triangle, but I thought a more general method of solution might be useful.