Do Basic Algebra with Mathematica
You can easily manipulate algebraic expressions using dozens of built-in functions. This example multiplies the two parts of an expression together.
Factor allows you to take apart the resulting answer.
Factor does not introduce algebraic expressions that were not originally present
in the input.
The Extension option is a very powerful element that allows you to specify the
algebraic expressions needed to factor certain polynomials. The following example
demonstrates the use of the Extension option in a simple polynomial.
The Solve command allows you to solve an equation or set of
equations for the values of the respective variables. The simple example
that follows solves 3x2 = 8
You can solve expressions symbolically as well. Here is the familiar quadratic formula.
You can also solve a system of equations for the variables that you specify.