Question

desenvolva a seguinte expressao (x/2 + y/2)³


porfavor preciso urgente​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{(\dfrac{x}{2} + \dfrac{y}{2})^3 = \large(\dfrac{x}{2}\large)^3 + 3.\large(\dfrac{x}{2}\large)^2.\large(\dfrac{y}{2}\large) + 3.\large(\dfrac{x}{2}\large).\large(\dfrac{y}{2}\large)^2 + \large(\dfrac{y}{2}\large)^3}$

$\mathsf{(\dfrac{x}{2} + \dfrac{y}{2})^3 = \dfrac{x^3}{8} + \dfrac{3x^2y}{8} + \dfrac{3xy^2}{8} + \dfrac{y^3}{8}}$

$\boxed{\boxed{\mathsf{(\dfrac{x}{2} + \dfrac{y}{2})^3 = \dfrac{x^3 + 3x^2y + 3xy^2 + y^3}{8}}}}$