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]