# Expand and Simplify Polynomials Calculator

An online expansion calculator of polynomials is presented.

## Expansion and Simplification of Polynomials

The distributive property in algebra is used to expand polynomials
and the concept of like terms in algebra is used to simplify polynomials.

The present calculator may be used to check answers in the tutorials about how to
add, subtract and simplify polynomials

Example

Expand and simplify the expression
\[ 2(x - 4) - 3(x +4) \]
Solution

Expand: \( \quad 2(x - 4) - 3(x +4) = 2 x - 2 \times 4 - 3 x -3 \times 4 \)

Simplify : \( \quad = 2 x - 8 - 3 x - 12 \)

Group like terms: \( \quad = - x - 20 \)

Hence: \[ \quad 2(x - 4) - 3(x +4) = - x - 20 \]

## Use of the Expansion Calculator

1 - Enter and edit the expression to expand and click "Enter Expression" then check what you have entered.

2 - The four operators used are: + (plus) , - (minus) , ^ (power) and * (multiplication). (example: 3*(x-2)-2(x-1)*(x-4))

2 - Click "Expand" to obain the expanded and simplified expression.

Notes: In editing functions, use the following:

Here are some examples of expressions that you may copy and paste to practice:

-2*(x-2) + 4 4*(x-2) - 3*(x+5) (x-2)*(x+5) - 3*(x+5) (x-2)^2 +4*(x+5)

-(x-2)*(x+7) + 2(x+3)*(x+1)
2*(x-2)^3 - (x -2)^2 2*(x-2)*(x-3)*(x+4)

## More References and Links

Introduction to PolynomialsDistributive Property in Algebra

Like Terms in Algebra

Algebra and Trigonometry with Analytic Geometry - R.E.Larson , R.P. Hostetler , B.H. Edwards, D.E. Heyd - 1997 - ISBN: 0-669-41723-8

Algebra and Trigonometry - Swokowsky Cole - 1997 - ISBN: 0-534-95308-5