Question

evaluate the expression when m = -2.
$m^2 + 6m + 9$

Explanation:

Step1: Substitute m = -2 into the expression

Substitute \( m = -2 \) into \( m^2 + 6m + 9 \), we get \( (-2)^2 + 6\times(-2) + 9 \).

Step2: Calculate each term

First, calculate \( (-2)^2 = 4 \), \( 6\times(-2) = -12 \). Then substitute these values back: \( 4 + (-12) + 9 \).

Step3: Simplify the expression

Simplify \( 4 - 12 + 9 \). \( 4 - 12 = -8 \), then \( -8 + 9 = 1 \).

Answer:

1