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.

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 + z^{−1})^{2 }(1 + z)^{2}· (r1z + r0 + r1z^{−1})

to the form:

P(z) = r1z^{3} + (4r1 + r0)z^{2 }+ (7r1 + 4r0)z + (8r1 + 6r0)

+(7r1 + 4r0)z^{−1 }+ (4r1 + r0)z^{−2 }+ r1z^{−3}

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

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 A^{a}*B^{a} ?

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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