Question

Evaluate the expression for the given value of the variable(s).
`3a^{2}-4b;a=-2,b=-3`
HINT: Remember that`(-2)^{2}=\left(-2\right)\left(-2\right)`

Answer 1

To evaluate the expression `3a^{2}-4b` when `a=-2` and `b=-3`, we substitute these values into the expression.

Substituting `a=-2` and `b=-3`, we get:

`3(-2)^{2}-4(-3)`

Now, let's simplify the expression:

`3(-2)^{2}-4(-3) = 3(4)+12`

Multiplying `3` by `4`, we get:

`12+12`

Adding `12` and `12`, we get:

`24`

Therefore, when `a=-2` and `b=-3`, the expression `3a^{2}-4b` evaluates to `24`.