Question

what is the value of $3x^2 - 5xy + 5y^2$ for $x = -6$ and $y = 2$?
-68
-4
188
208

Explanation:

Step1: Substitute x and y values

Substitute \( x = -6 \) and \( y = 2 \) into the expression \( 3x^2 - 5xy + 5y^2 \).

$$
LATEXBLOCK0
$$

Step2: Calculate each term

First term: \( 3(-6)^2 = 3\times36 = 108 \)
Second term: \( -5(-6)(2) = 60 \)
Third term: \( 5(2)^2 = 5\times4 = 20 \)

Step3: Sum the terms

Add the three terms together: \( 108 + 60 + 20 = 188 \)

Answer:

188