Question

$( \frac{3}{2} x + 8y) ^{3}$

Answer 1

Aplicas .
Productos Notables.
(a + b)³ =
a³  + 3a²b + 3ab² + b³

(3x/2 + 8y)³ =
(3x/2)³ + 3(3x/2)²(8y) + 3(3x/2)(8y)² + (8y)³ =
(3x)³/2³ + (3(3x)² /2²)(8y) +9x/2(8²y²) +8³y³ =
3³x³/8 + 3(3²x²)/4 (8y) + 9x/2(64y²) + 512y³
27x³/8 + 3(9x²/4)(8y) + 9x(32y²) + 512 =
27x³/8 + 27x²(2y) + 288xy² + 512y³ =
27x³/8 + 54x²y +  288xy² + 512y³

Respuesta.
27x³/8 + 54x²y + 288xy² + 512y³