Question

(2x+4y)³
(6x-2y)³
(4x⁶-5y)³
(5x+6y)³

Answer 1

Explicación paso a paso:

Formula de binomio al cubo:  

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

Resolvamos:

1)

(2x+4y)³ = (2x)³ + 3(2x)²(4y) + 3(2x)(4y)² + (4y)³

(2x+4y)³ = 8x³+48x²y+96xy²+64y³

2)

(6x-2y)³ = (6x)³ - 3(6x)²(2y) + 3(6x)(2y)² - (2y)³

(6x-2y)³ = 216x³-216x²y+72xy²-8y³

3)

(4x⁶-5y)³ = (4x⁶)³ - 3(4x⁶)²(5y) + 3(4x⁶)(5y)² - (5y)³

(4x⁶-5y)³ = 64x¹⁸-240x¹²y+300x⁶y²-125y³

4)

(5x+6y)³ = (5x)³ + 3(5x)²(6y) + 3(5x)(6y)² + (6y)³

(5x+6y)³ = 125x³+450x²y+540xy²+216y³

Answer 2

Respuesta:

Explicación paso a paso:

primero

2x)³-3(2x)²*4y+3*2x*(4y)²-(4y)³=

8x³-3*4x²*4y+3*2x*16y²-64y³=

8x³-48x²y+96xy²-64y³

R//: 8x³-48x²y+96xy²-64y³

segundo

(6x-2y)³

(6x)³ - 3(6x)²(2y) + 3(6x)(2y)² - (2y)³

216x³  - 216x²y + 72xy² - 8y³

tercera

.....

cuarta

3      2

x=3    y=2