Simplify
 Usage
Notes
 Further Examples
Simplify factors these polynomials.
In[1]:=
|
Out[1]=
|
In[2]:=
|
Out[2]=
|
Simplify may not factor completely.
In[3]:=
|
In[4]:=
|
Out[4]=
|
Here Simplify does nothing at all. Simplicity is largely based on the expression's LeafCount.
In[5]:=
|
Out[5]=
|
The leaf count is not the only consideration, however. Here, Log[256] is considered simpler than 4 Log[4], but Log[10000] is not simpler than 4 Log[10]. You can override this behavior; see the Further Examples for ComplexityFunction.
In[6]:=
|
Out[6]=
|
This integral returns a sum of three terms.
In[7]:=
|
Out[7]=
|
Differentiating the result gives an expression that is more complicated than the original integrand, but mathematically equivalent to it.
In[8]:=
|
Out[8]=
|
Simplify gets back to the original form of the expression.
In[9]:=
|
Out[9]=
|
In[10]:=
|
Using Assumptions Variables in an inequality are implicitly assumed to be real.
In[11]:=
|
Out[11]=
|
The first assumption says that m and n are both integers.
In[12]:=
|
Out[12]=
|
It is not true in general that  .
In[13]:=
|
Out[13]=
|
If both exponents are integers,  simplifies to  .
In[14]:=
|
Out[14]=
|
Here are some more examples using assumptions.
In[15]:=
|
Out[15]=
|
In[16]:=
|
Out[16]=
|
In[17]:=
|
Out[17]=
|
In[18]:=
|
Out[18]=
|
In[19]:=
|
Out[19]=
|
In[20]:=
|
Out[20]=
|
In[21]:=
|
Out[21]=
|
In[22]:=
|
Out[22]=
|
In[23]:=
|
Out[23]=
|
In[24]:=
|
Out[24]=
|
In[25]:=
|
Out[25]=
|
In[26]:=
|
Out[26]=
|
In[27]:=
|
Out[27]=
|
In[28]:=
|
Out[28]=
|
FullSimplify, ComplexityFunction and TransformationFunctions See also the Further Examples for FullSimplify and for the options ComplexityFunction and TransformationFunctions.
| 
