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AOA... How are you all. I need the answer of the following question.

 

input in Maple: expand(exp(a+b)+exp(c+b))

output:  exp(a)*exp(b)+exp(c)*exp(b)

and

input in Maple: expand(exp(2a+b)+exp(3c+b))

output:  (exp(a))^2*exp(b)+(exp(c))^3*exp(b)

but i need exp(2a)*exp(b)+exp(3c)*exp(b)

 

PhD (Scholar)
Department of Mathematics

Hi Maple friends.

expand( (a+b)^2 );

a^2+2*a*b+b^2

expand( (a+b)^3 );

a^3+3*a^2*b+3*a*b^2+b^3

expand( (a+4)^4 )

a^4+16*a^3+96*a^2+256*a+256 (???)

Pascal's triangle shows that 'expand( (a+4)^4 )' should have resulted in a^4+4*a^3*b+6*a^2*b^2+4*a*b^3+b^4

Where are the b variables in Maple's solution?

Thanks in advance.

expand( (a+b)^n)

 

convert((a+b)^n,Sum) 

 

none  expands in  binomial  form.  Is there any way for Maple to generate  binomial  expansion of (a+b)^n  without

 

entering  manually.

 

martin

Please tell me how to do about the following problem to me.

 

g:=(b*y)^k*k*y;

simplify(%);

Then, what I obtained was (b*y)^k*k*y, not (b^k)*k*y^(k+1).

expand of the command brought the same answer not (b^k)*k*y^(k+1).

Please tell me what was wrong to my calculation.

 

Thank you in advance.

 

Taro.

 

intergration

f:=Intat(1.0000000000000000000*(1.7969454312181156991*_f^1.2+1.80)^1.2/sqrt(-1.4974545260150964159*(8.9847271560905784954*_f^3+14.640368911168931285*_f^2+30.220202497712627297)^1.2), _f = 0);

 

I tried to use  value(f);  eval(f); simplify(f); expand(f), but non provide an answer, but return an integral unevaluated.

 

Is there a command to produce a  numerical result ?

I am trying to expand  a rational function that is in the form:

P(z) = (1 + z1)2 (1 + z)2· (r1z + r0 + r1z1)

to the form:

 

P(z) = r1z3 + (4r1 + r0)z2 + (7r1 + 4r0)z + (8r1 + 6r0)

 

+(7r1 + 4r0)z1 + (4r1 + r0)z2 + r1z3

Can someone show me how to do this please?

 

 

This is just a question on terminology. The name "combine" implies pulling terms together. Yet, when applied to something like sin(x)^2 it has the effect of expanding it:

r:=sin(x)^2;
combine(r);

 

Which seems counter-intutive to me. I tried first expand(r) but that did not expand it.

Fyi, in Mathematica the function to do the above is called

Sin[x]^2;
TrigReduce[%]

    1/2 (1 - Cos[2 x])

As Mathematica does not have a Combine[] function.

So, I am just wondering about the naming, that is all. I would never have thought first that a command called combine() will expand sin(x)^2.

 

 

Dear All,

I need your help, what function in Maple must be used to find the different form of this function

f := product((p*beta[1]*(t[i]/theta[1])^(beta[1]-1)*exp(-(t[i]/theta[1])^beta[1])/theta[1])^Y[i]*((1-p)*beta[2]*(t[i]/theta[2])^(beta[2]-1)*exp(-(t[i]/theta[2])^beta[2])/theta[2])^(1-Y[i]), i = 1 .. n)

into this function

Hi, friends:

 

Having an expression like this:

ee:=(c^2+a^2-b^2)*(a^2-c^2)^3*(a^2+c^2)^3;

 

What is the right way to get:

ee:=(c^2+a^2-b^2)*(a^4-c^4)^3 ?

 

I have tried:

ee:=applyrule((X::algebraic^k::integer + Y::algebraic^k::integer)^n::integer *
                     (X::algebraic^k::integer - Y::algebraic^k::integer)^n::integer = (X^(2*k)+Y(2*k))^n, ee) 

Hi,

 

I need to expand a function of the form {[1]}.{[2]}.({[2, 3]}-{[3, 2]}).({[1, 3]}-{[3, 1]}), where '.' is for non-commutative multiplication. I need to get  {[1]}.{[2]}.{[2,3]}.{[1,3]} - {[1]}.{[2]}.{[2,3]}.{[3,1]} - ... (the order of matters).

 

Maple has a command 'expand', but that only works for normal products. eg. {[1]}*{[2]}*({[2, 3]}-{[3, 2]})*({[1, 3]}-{[3, 1]}).

 

Any help appreciated!

Is there a command the takes (A*B)a and returns Aa*Ba ?

I tried expand and  simplify and also used assuming a>1 but without luck here...

I know this is very basic but I have monster product expressions that I need to be able to raise every term inside the parenthesis by the power so I can isolate some terms of interest.

I don't understand why 'expand(x+y)^18' the smart popup work, but with 'expand(x+y)^19'  (or more then 19) i have no smart popups!

Any idea?

Thank you all

How I can get prd with only fifth and lower powers of x[n] in the following code?


p1:=a*x[n]+b*x[n]^3-c*x[n]^6:

p2:=d*x[n]^2-e*x^4+20:

prd:=collect(expand(p1*p2),x[n]);

Bonjour,

Comment expand l'expréssion ci-dessous comme un polynome en les variables x,y :

R:=((-lambda*alpha*beta*eta-mu*alpha*beta*eta-nu*alpha*beta*eta-alpha*beta*eta-xi*alpha*beta*eta-tau*alpha*beta*eta)*x+(xi+xi*beta+tau+lambda+lambda*eta+lambda*beta+xi*eta+tau*beta+mu*beta+mu*eta+mu*alpha+xi*alpha+tau*eta+beta+lambda*alpha+mu+eta+nu*beta+tau*alpha+nu*eta+nu*alpha+alpha+1+nu)*x^4+(tau*beta*eta+lambda*alpha*beta*eta+beta*eta+nu*alpha*eta+lambda*beta*eta+nu*alpha*beta+...

How can I expand (1+x)^n, where n is a posive integer number?

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