Question

A expressão (X/3 - Y/2)³ é equivalente a :

Answer 1

Resposta:

(B)

Explicação passo-a-passo:

(X/3 - Y/2)³

= (X/3 - Y/2)^2 . (X/3 - Y/2)

[(x/3)^2 - 2.x/3.y/2 + (y/2)^2] . (x/3- y/2)

(x^2/9 -2xy/6 +y^2/4) .(x/3-y/2)

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

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

x^3/27 - x^2.y/18 - x^2.y/9 +xy^2/6 + x.y^2/12 - y^3/8

x^3/27 - x^2.y/18 - 2x^2.y/18 + 2x.y^2/12 + x.y^2/12 - y^3/8

x^3/27 - 3x^2.y/18 + 3x.y^2/12 - y^3/8

X^3/27 - x^2.y/6 + x.y^2/4 - y^3/8

Resp.: b