CADERNO 1(maple)

1)
a)
> (20-5*sqrt(6))/(pi-1);
print(`output redirected...`); # input placeholder
                                        (1/2)
                                20 - 5 6
                                -------------
                                   pi - 1
b)
> (1/3-4/7)/(3*exp(1)+2*pi);
print(`output redirected...`); # input placeholder
                                      5
                           - --------------------
                             21 (3 exp(1) + 2 pi)
2)
a)
> x^4+3*x^3+sqrt(x+3)+1;
print(`output redirected...`); # input placeholder
                         4      3          (1/2)
                        x  + 3 x  + (x + 3)      + 1
b)
> (3*x^5-7*x^3)/(exp(x)+3/x);
print(`output redirected...`); # input placeholder
                                    5      3
                                 3 x  - 7 x
                                 -----------
                                          3
                                 exp(x) + -
                                          x
2)
> expand((y^3+5)^2*(2*y-1)^3);
print(`output redirected...`); # input placeholder
    9       8      7       6        5       4        3        2
 8 y  - 12 y  + 6 y  + 79 y  - 120 y  + 60 y  + 190 y  - 300 y  + 150 y - 25
3)
> expand((y+x*(y+z))^3);
print(`output redirected...`); # input placeholder
 3        3      2          2  3      2  2          2  2    3  3      3  2
y  + 3 x y  + 3 y  x z + 3 x  y  + 6 x  y  z + 3 y x  z  + x  y  + 3 x  y  z

        3    2    3  3
   + 3 x  y z  + x  z
4)

> simplify((y^2-25)^2/(y-5));
print(`output redirected...`); # input placeholder
                                      / 2     \
                              (y + 5) \y  - 25/