### Concept (1)

Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When simplifying rational functions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a "+" or "-" and if all terms cancel in the numerator, there is still a one there.

### Sample Problems (8)

Need help with "Difference of Perfect Squares" problems? Watch expert teachers solve similar problems to develop your skills.

Factor:

x² − 16
###### Problem 1
How to factor a perfect square if a = 1.

Factor:

16x² − 81
###### Problem 2
How to factor a perfect square if a does not equal 1.

Factor:

x⁶ − 4y²
###### Problem 3
How to factor a perfect square if the exponents are larger than 2.
###### Problem 4
A math video explaining advanced level factoring using difference of perfect squares.
###### Problem 5
Factoring with repeated differences of perfect squares
###### Problem 6
An exploration of three methods for understanding how to factor the difference of perfect squares.
###### Problem 7
Identifying binomials that are a difference of perfect squares and using shortcuts to factor them.
###### Problem 8
Factoring by first identifying a greatest common factor, or GCF