Question

Desarrollar los siguientes productos notables
A.(2+y²)³
B.(4n+3)³
C.(a²-2b)³
D(1-2n)³

Answer 1

Explicación paso a paso:

Formula de binomio al cubo:  

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

Desarrollar los siguientes productos notables

A.

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

(2+y²)³ = 8+12y²+6y⁴+y⁶

B.

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

(4n+3)³ = 64n³+144n²+108n+27

C.

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

(a²-2b)³ = a⁶-6a⁴b+12a²b²-8b³

D.

(1-2n)³ = (1)³ - 3(1)²(2n) + 3(1)(2n)² - (2n)³

(1-2n)³ = 1-6n+12n²-8n³