Consider you have an expression like:

f := (125*x^3+525*x^2*y+735*x*y^2+343*y^3-36*z^2)/(-216*z^3+25*x^2+70*x*y+49*y^2)

By hand and spending much time maybe we can find out so far that:

f := ((5*x+7*y)^3-(6*z)^2)/((5*x+7*y)^2-(6*z)^3)

I thought that the code `combine(f)` would give us the second one, but it didn’t. Is there anything obvious I cannot see?

Thanks for the time.

I found some codes for drawing my Graph in Maple:

[>  with(GraphTheory);

     W := Graph(undirected, {{0, 1}, {0, 2}, {0, 3}}):

     HighlightEdges(W, W, black):

     HighlightVertex(W, [1, 2, 3, 0], gray):

     DrawGraph( W);

 The way that the graph was plotted was not what I wanted to have. In fact, I expected to have something like this one:

http://i.stack.imgur.com/JMfmd.png

I mean the vertexes are shaped by circles not by boxs. Moreover, one may want to see labels below (or above) the circled nodes. My question is 

" Is there any certain codes we can use to have this graph like the picture above? Can we manage the labels to be appeared near the nodes in Maple?

Thanks for your time!

The problem is how to plot a linear transformation, for example,

(x,y)->(x-y/2,y)

As, I searched, I found out that the code "LinearTransformPlot" can do that but it defines to act for example on lines or a certain subspace. May I ask you to learn the solution. Should we have a subspace untill we can plot the transformation? Thanks

We know that the set f:={(1,2),(2,a),(3,b)} can introduce a function from {1,2,3} to {2,a,b}. I want Maple to know f as a function. Is this job possible at Maple? I thought to find the Cartesian product of above latter sets and then try to select "f" as one of its subset but this did not help me to force Maple to take "f" as a function. Indeed, I want to work with this kind of function (like plotting and doing f+g, f-g, fog for two functions for example).

Thanks for your time and help.

Good time friends,

Recently, I saw this link http://math.stackexchange.com/q/613753/8581. There we asked to find the functions f(x) ang g(x) by having both composition functions fog(x) and gof(x). I know what to do to find any of f(x) (or g(x)) if I am given fog(x) (or gof(x)) respectively, but I confess I don't know what to do with this one. Can Maple overcome this knid of problem? Thanks for your time.