Distribution of an expression

Questions
1

Hi, i would like to know which function can i use in Mathematica to have a distribution of an expression?
for example:

(A^2+m^2 )*?^2*(A+B)

becomes

A^3*?^2+A*m^2*?^2+A^2*B*?^2+B*m^2*?^2

I don’t want to have any brackets
(in an other meaning, a command that give the opposite of “simplify” command)
thanks.

2

Expand

3

thanks

4

when I have an expression with cosinus or sinus [ex. b²*(1/b²t+cos(b²*(s/t²+k/t²))] the “expand” command does not expand terms in brackets after cosinus. How can I do to expand this part?

5

In[14]:= Expand[Cos[(x + y)^2]]

Out[14]= Cos[(x + y)^2]

In[15]:= Map[Expand, Cos[(x + y)^2], 1]

Out[15]= Cos[x^2 + 2 x y + y^2]
6

I have this fonction? f1=Sin[b??(-m^2/a^2 +(m?(k_? ))/ab)]
I want to distribute "b ? " into the square to obtain:
f1=Sin?(-b^2*?^2m^2/a^2 +b^2?^2*(m?(k_? ))/ab)
After I suppose??=a/b
I will have:f1=Sin?(-?^2m^2/?^2 +?^2(m?(k_? ))/?)

My question is : is there a command in mathematica that can give me this result?