Question

quien me puede ayudar con esa tarea con su procedimiento más porfavor ​

Answer 1

Explicación paso a paso:

Formula de binomio al cubo:  

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

Desarrollar:

1.

(a+2)³ = (a)³ + 3(a)²(2) + 3(a)(2)² + (2)³

(a+2)³ = a³+6a²+12a+8

2.

(2x+1)³ = (2x)³ + 3(2x)²(1) + 3(2x)(1)² + (1)³

(2x+1)³ = 8x³+12x²+6x+1

3.

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

(2x+3y)³ = 8x³+36x²y+54xy²+27y³

4.

(a²+2b)³ = (a²)³ + 3(a²)²(2b) + 3(a²)(2b)² + (2b)³

(a²+2b)³ = a⁶+6a⁴b+12a²b²+8b³

5.

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

(3x+2y)³ = 27x³+54x²y+36xy²+8y³

6.

(4+3ab²)³ = (4)³ + 3(4)²(3ab²) + 3(4)(3ab²)² + (3ab²)³

(4+3b²)³ = 64+144ab²+108a²b⁴+27a³b⁶