### 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 (5)

Need help with "Adding and Subtracting Polynomials" problems? Watch expert teachers solve similar problems to develop your skills.

Simplify:

(2p³ + 6p² + 9p) + (3p³ − 8p² − 11p)
###### Problem 1
How to add polynomials that are in standard form.

Write an expression for the perimeter of the given figure:

###### Problem 2
How to write a polynomial expression for the perimeter of a shape.

Simplify:

(30y³ − 29y² − 3y) − (2y³ + 6)
###### Problem 3
How to subtract polynomials if they have different numbers of terms.
###### Problem 4
Explanation of common errors in adding and subtracting polynomials, particular in terms of working with exponents on variables
###### Problem 5
Geometry applications of adding and subtracting polynomials - finding the perimeter