Question

А)(2+а)^3= б)(в-2)^3= помогите пожалуйста

Answer 1

Объяснение:

$a) \: {(2 + a)}^{3} = (2 + a)(4 + 4a + {a}^{2} )$

$b) \: {(b - 2)}^{3} = (b - 2)( {b}^{2} - 4b + 4)$

Answer 2

Task: Simplifying Expressions

Let's simplify the given expressions step by step:

a) (2 + a)^3

To simplify this expression, we need to expand the cube of the binomial (2 + a). Using the binomial expansion formula, we get:

(2 + a)^3 = 1*(2^3) + 3*(2^2)*(a) + 3*(2)*(a^2) + 1*(a^3)

Simplifying further, we have:

(2 + a)^3 = 8 + 12a + 6a^2 + a^3

b) (v - 2)^3

Similarly, to simplify this expression, we need to expand the cube of the binomial (v - 2). Using the binomial expansion formula, we get:

(v - 2)^3 = 1*(v^3) - 3*(v^2)*(2) + 3*(v)*(2^2) - 1*(2^3)

Simplifying further, we have:

(v - 2)^3 = v^3 - 6v^2 + 12v - 8

So, the simplified expressions are:

a) (2 + a)^3 = 8 + 12a + 6a^2 + a^3 b) (v - 2)^3 = v^3 - 6v^2 + 12v - 8

Please let me know if you need any further assistance!