QuestionEvalúa $3 a^{2}+2 b^{2}$ con $a=-3$ y $b=6$ .

Studdy Solution

STEP 1

Assumptions1. The expression to evaluate is $3 a^{}+ b^{}$ . The values for the variables are $a=-3$ and $b=6$

STEP 2

First, we need to substitute the given values of $a$ and $b$ into the expression.
$a^{2}+2 b^{2} =(-)^{2}+2(6)^{2}$

STEP 3

Now, we need to calculate the squares of $-3$ and $6$ .
$(-3)^{2} =9$ $(6)^{2} =36$

STEP 4

Substitute these values back into the expression.
$3 a^{2}+2 b^{2} =3(9)+2(36)$

STEP 5

Perform the multiplication operations.
$3 a^{2}+2 b^{2} =27+72$

STEP 6

Finally, we need to add these two values to evaluate the expression.
$3 a^{2}+2 b^{2} =27+72 =99$ The evaluated expression is99.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms