Respuesta :

Answer:

The cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]

Step-by-step explanation:

We need to find cube of [tex](x+2)^3[/tex]

It can be found using formula: [tex](a+b)^3=(a+b)(a^2-ab+b^2)[/tex]

In the question given:

We have a = x and b = 2

Now finding cube using the above formula:

[tex](x+2)^3\\=(x+2)(x^2-(x)(2)+(2)^2)\\=(x+2)(x^2-2x+4)[/tex]

So, the cube of [tex](x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}[/tex]