Question

Realiza los siguientes binomios al cubo
1. (x + 5)3
2. (x – 2)3
3. (y5 – 2)3
4. (3m5 + 1)3
5. (a2 + 3y)3

Answer 1

Explicación paso a paso:

Formula de binomio al cubo:  

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³

Realiza los siguientes binomios al cubo

1.

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

(x+5)³ = x³+15x²+75x+125

2.

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

(x-2)³ = x³-6x²+12x-8

3.

(y⁵-2)³ = (y⁵)³ - 3(y⁵)²(2) + 3(y⁵)(2)² - (2)³

(y⁵-2)³ = y¹⁵-6y¹⁰+12y⁵-8

4.

(3m⁵+1)³ = (3m⁵)³ + 3(3m⁵)²(1) + 3(3m⁵)(1)² + (1)³

(3m⁵+1)³ = 27m¹⁵+27m¹⁰+9m⁵+1

5.

(a²+3y)³ = (a²)³ + 3(a²)²(3y) + 3(a²)(3y)² + (3y)³

(a²+3y)³ = a⁶+9a⁴y+27a²y²+27y³