Simplify: to make simpler!
One of the big jobs we do in Algebra is "simplification". You will often get asked to express something "in simplest form".
What is the Simplest Form?
In general, it is simpler if it is easier to use.
Which is easier to use.
||x2 - 2x - 3
|can become this:
That last example might be controversial ... some people say that you should remove parentheses to make it "simpler", but (x-3)(x+1) is usually a lot easier to use.
The moral of the story:
"Simplified" is sometimes obvious, but can also depend on what you want to do!
How to Simplify
Simplifying uses much the same skills as solving equations, that page has some good advice.
But here is a small list of tips:
And Which Is Simpler Here?
Here is one more interesting case:
Which is simpler? You decide!