Respuesta :

Answer: 243

Step-by-step explanation:

We have the expression

[tex]3(a + b + c)^2[/tex]

Note that the expression depends on 3 variables

a, b and c

in this case we want to evaluate the expression for

[tex]a = 2\\b = 3\\c = 4[/tex]

Then change the variable a by the number 2, the variable b by the number 3 and the variable c by the number 4

So we have

[tex]3(2 + 3 + 4)^2[/tex]

Now simplify the expression

[tex]3(9)^2[/tex]

[tex]3*81=243[/tex]

The answer is 243

ANSWER

[tex]243[/tex]

EXPLANATION

The given expression is

[tex]3 {(a + b + c)}^{2} [/tex]

We want to evaluate this expression for:

a = 2, b = 3, and c = 4.

We substitute the given values into the expression to get:

[tex]3(2 + 3 + 4)^{2} [/tex]

Let us perform the addition inside the parenthesis to get:

[tex]3(9)^{2} [/tex]

[tex]3(81) =24 3[/tex]

Therefore the given expression evaluates to:

[tex]243[/tex]