Question

If x = 2 and y = 4,
evaluate the following expression:
3x² + 3xy + y²

Answer 1

If x = 2 and y = 4, 3x² + 3xy +y² = 52

Explanation:

To evaluate the expression 3x²+3xy+y², we must first plug in our known values (x = 2 & y = 4) into the equation.

3(2)²+3(2)(4)+(4)²

Now that we have plugged our known values into the equation, we can perform our order of operations: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (PEMDAS) to solve.

3(4)+3(2)(4)+16

Now that we have squared the parentheses, our next step is to multiply which gives us:

12+24+16

Now that we have multiplied, our next step is to add to receive our answer.

12 + 24 + 16 = 52