Answer :
To evaluate the expression \( 14 - 2xy \) with the given values \( x = -6 \) and \( y = 2 \), follow these steps:
1. Substitute the values of \( x \) and \( y \) into the expression:
[tex]\[ 14 - 2(-6)(2) \][/tex]
2. Multiply the values inside the parentheses:
[tex]\[ -6 \times 2 = -12 \][/tex]
3. Multiply by the coefficient \( -2 \):
[tex]\[ 2(-12) = -24 \][/tex]
4. Substitute this result back into the expression:
[tex]\[ 14 - (-24) \][/tex]
5. Simplify the expression by subtracting a negative value, which is equivalent to adding the positive counterpart:
[tex]\[ 14 + 24 = 38 \][/tex]
Therefore, the value of the expression \( 14 - 2xy \) when \( x = -6 \) and \( y = 2 \) is \( 38 \).
So, the correct answer is:
[tex]\[ \boxed{38} \][/tex]
1. Substitute the values of \( x \) and \( y \) into the expression:
[tex]\[ 14 - 2(-6)(2) \][/tex]
2. Multiply the values inside the parentheses:
[tex]\[ -6 \times 2 = -12 \][/tex]
3. Multiply by the coefficient \( -2 \):
[tex]\[ 2(-12) = -24 \][/tex]
4. Substitute this result back into the expression:
[tex]\[ 14 - (-24) \][/tex]
5. Simplify the expression by subtracting a negative value, which is equivalent to adding the positive counterpart:
[tex]\[ 14 + 24 = 38 \][/tex]
Therefore, the value of the expression \( 14 - 2xy \) when \( x = -6 \) and \( y = 2 \) is \( 38 \).
So, the correct answer is:
[tex]\[ \boxed{38} \][/tex]
