Question

desenvolva

( 2 x + 3 y )3 =

Answer 1

(2x + 3y)³ = (2x + 3y) . (2x + 3y) . (2x + 3y) ou (2x + 3y)² . (2x + 3y)

(a + b)² = a² + 2ab + b²

(2x + 3y)² . (2x + 3y) = ((2x)² + 2 . 2x . 3y + (3y)²) . (2x + 3y) = (4x² + 12xy + 9y²) . (2x + 3y)

Continuando aplicando a distributiva temos:
(4x² + 12xy + 9y²) . (2x + 3y) = 4x² . 2x + 4x² . 3y + 12xy . 2x + 12xy . 3y + 9y² . 2x + 9y² . 3y =
8x³ + 12x²y + 24x²y + 36xy² + 18xy² + 27y³ =
8x³ + 27y³ + 36x²y + 54xy²