Question

Evaluate the expression 2ab3 + 6a3 - 4ab2 when a = 2 and b = 4.

A) 176
B) 180
C) 215
D) 216

Answer 1

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
`2ab ^ 3 + 6a ^ 3 - 4ab ^ 2`

and we have
`a = 2`and
`b = 4`, substituting the values of the variables we have:

`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`

Thus, when evaluating the expression with
`a = 2`and
`b = 4`we have 176.

Answer:

The result is 176

Option A