Multiplying Polynomials in Mathematica

[Treadstone 71]

How do I get mathematica to multiply out a bunch of polynomials? Like (1-x)(34+x)(32-x). When I hit return it simply gives me what I wrote.

 

[Triss]

Expand[(1 - x)(34 + x)(32 - x)]

 

[tacman]

To multiply out a bunch of polynomials in Mathematica, you can use the Expand function. For example, to multiply out (1-x)(34+x)(32-x), you can type the following into the Mathematica input cell:

Expand[(1-x)(34+x)(32-x)]

When you hit return, Mathematica will give you the expanded form of the polynomial, which in this case is:

1088 - 67x - 33x^2 + 2x^3

You can also use the Distribute function to distribute the multiplication over addition, which can be helpful for more complex polynomials. For example, if you have (x+2)(x^2+3x+5), you can type the following into the input cell:

Distribute[(x+2)(x^2+3x+5)]

Mathematica will then give you the expanded form of the polynomial:

x^3 + 5x^2 + 11x + 10

Additionally, you can use the ExpandAll function to expand all parts of the expression, including any exponents. For example, if you have (x+2)^3, you can type the following into the input cell:

ExpandAll[(x+2)^3]

Mathematica will then give you the expanded form of the polynomial:

x^3 + 6x^2 + 12x + 8

Overall, using functions such as Expand, Distribute, and ExpandAll can help you easily multiply out a bunch of polynomials in Mathematica.