Espressioni

Ex.28

y·(x + 33/8) - ((x - 3)·(1/4·x - 2·y) - x·(x - 3·y) + 3·x - 5/4·(2·x + 3/2·y))=

=(x·y + 33·y/8) - ((x^2/4 - 2·x·y - 3·x/4 + 6·y) - (x^2 - 3·x·y) + 3·x - (5·x/2 + 15·y/8)) =

=(x·y + 33·y/8) - (- 3·x^2/4 + x·y - x/4 + 33·y/8)=

=3·x^2/4 + x/4

EX.29

((- 4/9)·(3/2·x - 1/3·y)^2 - ((x + 2/9·y)·(x - 2/9·y) - 2/9·x·y))/(x + 1/3·x) + 3/2·x=

=((- 4/9)·(9·x^2/4 - x·y + y^2/9) - ((x^2 - 4·y^2/81) - 2/9·x·y))/(4·x/3) + 3/2·x=

=((- x^2 + 4·x·y/9 - 4·y^2/81) - (x^2 - 2·x·y/9 - 4·y^2/81))/(4·x/3) + 3/2·x=

=(2·x·y/3 - 2·x^2)/(4·x/3) + 3/2·x=

=(y/2 - 3·x/2) + 3/2·x=

=y/2

n° 28

y*(x + 33/8) - ((x - 3)*(x/4 - 2*y) - x*(x - 3*y) + 3*x - 5/4*(2*x + 3*y/2))

(x*y + 33*y/8) - ((x^2/4 - 2*x*y - 3*x/4 + 6*y) - (x^2 - 3*x*y) + 3*x - (5*x/2 + 15*y/8))

(x*y + 33*y/8) - (- 3*x^2/4 + x*y - x/4 + 33*y/8)

3*x^2/4 + x/4

EX. 27

9·(3/2·x·y + (4/3·x - 1/9·y)·(3·x - 1) - 4·x^2 + x·(4/3 + x·y))/y - 1 - 9·x^2=

=9·(3/2·x·y + (4·x^2 - x·y/3 - 4·x/3 + y/9) - 4·x^2 + (x^2·y + 4·x/3))/y - 1 - 9·x^2=

=9·(x^2·y + 7·x·y/6 + y/9)/y - 1 - 9·x^2=

=(9·x^2 + 21·x/2 + 1) - 1 - 9·x^2=

=21·x/2

svolgo la n. 29

n° 27

9*(3*x*y/2 + (4*x/3 - y/9) * (3*x - 1) - 4*x^2 + x*(4/3 + x*y))/y - 1 - 9*x^2

9*(3/2*x*y + (4*x^2 - x*y/3 - 4*x/3 + y/9) - 4*x^2 + (x^2*y + 4*x/3))/y - 1 - 9*x^2=

9*(x^2*y + 7*x*y/6 + y/9)/y - 1 - 9*x^2=

(9*x^2 + 21*x/2 + 1) - 1 - 9*x^2

21*x/2

Es 29

((- 4/9) * 3*x/2 - y/3)^2 - ((x + 2*y/9) * (x - 2y/9) - 2*x*y/9))/(x + x/3) + 3*x/2

((- 4/9) * (9*x^2/4 - x*y + y^2/9) - ((x^2 - 4*y^2/81) - 2*x*y/9))/(4*x/3) + 3*x/2

((- x^2 + 4*x*y/9 - 4*y^2/81) - (x^2 - 2*x*y/9 - 4*y^2/81))/(4*x/3) + 3*x/2

(2*x*y/3 - 2*x^2)/(4*x/3) + 3x/2

(y/2 - 3*x/2) + 3*x/2

y/2