Keywords:
Expression, variables, evaluate, result
For this case we have an expression with two variables, the value of each one of the variables is given in order to evaluate the expression and obtain a result. To do this, we must replace the values of a and b respectively in the given expression.
Let [tex]2ab ^ 3 + 6a ^ 3 - 4ab ^ 2[/tex]
and we have [tex]a = 2[/tex]and [tex]b = 4[/tex], substituting the values of the variables we have:
[tex]2 (2) (4) ^ 3 + 6 (2) ^ 3 - 4 (2) (4) ^ 2 =\\(4) (4) ^ 3 + (6) (8) - (8) (4) ^ 2 =\\(4) (64) + 48- (8) (16) =\\256 + 48-128 =\\304-128 =\\176[/tex]
Thus, when evaluating the expression with [tex]a = 2[/tex]and [tex]b = 4[/tex]we have 176.
Answer:
The result is 176
Option A