Question

Ayuda porfavor es para la siguiente semana :c
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Answer 1

Explicación paso a paso:

Formula de binomio al cubo:  

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

Resolvamos:

a)

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

(2x+1)³ = 8x³+12x²+6x+1

b)

(2+y²)³ = (2)³ + 3(2)²(y²) + 3(2)(y²)² + (y²)³

(2+y²)³ = 8+12y²+6y⁴+y⁶

c)

(4n+3)³ = (4n)³ + 3(4n)²(3) + 3(4n)(3)² + (3)³

(4n+3)³ = 64n³+144n²+108n+27

d)

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

(a²-2b)³ = a⁶-6a⁴b+12a²b²-8b³

e)

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

(2x+3y)³ = 8x³+36x²y+54xy²+27y³