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I have to generate F(x) of a function with a degree of 5 who has zeros of x=2,x=1+3i,x=2-4i

After i put it into maple i use the command expand to give me the total function but afterwards i get this 144*i^4*x-25*i^2*x^3+x^5-288*i^4+118*i^2*x^2-8*x^4-188*i^2*x+25*x^3+104*i^2-38*x^2+28*x-8

i need to know what command can i use to get it to converts i^4 to 1 and i^2 to-1 that way i can truly simplify it. 

I've the equation

(-x^2+eta^2+2*x*xi+2*x*eta-xi^2-2*xi*eta-2*x*y-2*y*eta+2*xi*y+y^2)*(-x^2-2*x*eta+eta^2+2*x*xi+2*xi*eta-xi^2+2*x*y-2*xi*y-2*y*eta+y^2)-(x-xi)^4+6*((x-xi)^2)(-y+eta)^2-(-y+eta)^4

The answer is 0

But I can't get the answer by simplify and expand

Then which .Thanks

I have a rather large multivatiate polynomial "Dtest"  I need to divie it by a cubic poly "DGm" using rem and quo. Both are determinants multiplied out,  both given below. Have spent the past 2 nights trying to sort, collect, expand, equate coefficients plex groebner etc. Am trying to collect up all the powers of c₃ but cant anything to work. even expand doesn't fully expand "Dtest". If I set c₁ and c₂ to 1 things are...

When I do the following command in Maple:

I have a system of three non-linear coupled ODEs. I am trying to obtain the zeroth order, first order and second order equations and their boundary conditions using the perturbation technique. I then need to solve them. I wrote the following MAPLE lines for the purpose.

restart; N := 2

Eq[1] := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))

Eq[2] := g(eta)-(diff(h(eta), eta))

For educational purposes, I would like to hide some code (procedures) in a maple file. I put these procedures in a subsection which I can collapse. But everytime you execute the worksheet, the subsection is automatically expanded and I have to collapse the subsection again.
Is there a way to avoid the automatic expansion of subsection while executing the worksheet? 

I've found no questions about these types of functions. When I try to solve this equation by using the FOC function and then try to isolate one of the variables 'effort' (or optimal effort) the outcome is about 6 lines of algebra. When I use simplify it expands even further. What other options are there to get a 'nice' expression?

Hello,

I would like to write some functions and algebra that work with dual numbers.

http://en.wikipedia.org/wiki/Dual_number 

http://en.wikipedia.org/wiki/Dual_quaternion 

I have not found a library that supports this.

The basis of dual numbers it is epsilon^2=0, similar to i,j,k in complex algebra where i^2=-1,i*j=-1 etc.

How to expand a periodic function to form of fourier series

The periodic function such as

exp(lambda(exp(I*t)-1))

Hi , how do I get the binomial expansion of  1/sqrt(9+4*x^2) .  I am using expand(expression,binomial) . But Maple just

returns the expression.  Thanks .

I have no idea what happens here:

restart;(a+3)^17;expand(%);

s=05189CFC, invalid INTPOS

Error, (in Typeset:-Tdisplay[true]) object at address is invalid
                     Typesetting:-mi("` `")
Error, unexpected result from Typesetting

I have Maple 15.

Hi--

I'm using Maple for an extensive research write up and need to somehow expand an extremely large function. The function is in terms of four variables, and each of those variables is either a function of x or a derivative of a function of x. I've attempted to use the "mtaylor" command, but it throws up an error when I try to input functions as my variables. I'm wondering if there's another way to do this. I've looked at using the "expand" command, but I don't see...

If I extract the denominator of the following expression

> s:=(1/2/Pi+Q*(1-u^2)/(1+u^2))^2/((1+beta^2*(1/2/Pi+Q*(1-u^2)/(1+u^2))^2)*(1+u^2));

maple expands it automatically

s2:=denom(s);

but the result of solving the expanded denominator

solve(s2=0,u);

is different to the result of solving the non-expanded expression

Hey!

I am trying to simplify this: (a+b)(a-b). As we all know, this is a²-b². Maple, though, returns this: a(a+b) - b(a+b) which is also correct, but not what I want it to show :D Any way to make it show a²-b²?

I tried simplify, factor, expand - they all give the same result. Am I doing it wrong? :D

Thanks in advance