Espressioni con i polinomi D:

[Anthony_Hc_97]

(9/20 X(alla2)Y(alla3)+5/4 X(alla2)Y(alla3)+4/5 X(alla2)Y(alla3)) : (3/4 X(alla3)Y(alla3)+1/2 X(alla3)Y(alla3))+(-1/20 Y-5/4 Y+7/5 Y) : (-7/6 XY+1/6 XY)

[math]R[/math]

19/10x

[Ali Q]

Soluzione:

[math](9/20 x^2y^3 +5/4 x^2y^3 + 4/5 x^2y^3) : (3/4 x^3y^3+1/2 x^3y^3)+(-1/20 y-5/4 y+7/5 y) : (-7/6 xy+1/6 xy)=[/math]

[math]=[(9+25+26)/20 x^2y^3] : [(3+2)/4 x^3y^3] + [(-1-25+28 )/20 y] : (-1xy)=[/math]

[math]=(50/20 x^2y^3) : (5/4 x^3y^3) + (2/20 y) : (-1xy)=[/math]

[math] =(5/2x^2y^3) : (5/4 x^3y^3) + (1/10 y) : (-1xy)=[/math]

[math] =(5/2x^2y^3) * [4/5(x^3y^3)] + (1/10 y) * [-1/(xy)] =[/math]

[math] =2/x - 1/(10x) =[/math]

[math] =20/(10x) - 1/(10x) = 19/(10x)[/math]

Fine. Ciao!