Do Basic Algebra with Mathematica
Factoring Expressions
You can easily manipulate algebraic expressions using dozens of built-in functions. This example multiplies the two parts of an expression together.
![[Graphics:Images/index2_gr_24.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_24.gif)
![[Graphics:Images/index2_gr_25.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_25.gif)
Factor allows you to take apart the resulting answer.
![[Graphics:Images/index2_gr_26.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_26.gif)
![[Graphics:Images/index2_gr_27.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_27.gif)
Factor does not introduce algebraic expressions that were not originally present
in the input.
![[Graphics:Images/index2_gr_28.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_28.gif)
![[Graphics:Images/index2_gr_29.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_29.gif)
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.
![[Graphics:Images/index2_gr_30.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_30.gif)
![[Graphics:Images/index2_gr_31.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_31.gif)
Solving Equations
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
for x.
![[Graphics:Images/index2_gr_34.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_34.gif)
![[Graphics:Images/index2_gr_35.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_35.gif)
You can solve expressions symbolically as well. Here is the familiar quadratic formula.
![[Graphics:Images/index2_gr_36.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_36.gif)
![[Graphics:Images/index2_gr_37.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_37.gif)
You can also solve a system of equations for the variables that you specify.
![[Graphics:Images/index2_gr_38.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_38.gif)
![[Graphics:Images/index2_gr_39.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_39.gif)
![[Graphics:Images/index2_gr_40.gif]](http://library.wolfram.com/howtos/algebra/Images/index2_gr_40.gif)
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