Question

evaluate the expression when $m = -2$.
$m^2 + 9m + 3$

Explanation:

Step1: Substitute \( m = -2 \) into the expression

We substitute \( m = -2 \) into \( m^2 + 9m + 3 \), so we get \( (-2)^2 + 9\times(-2) + 3 \).

Step2: Calculate each term

First, calculate \( (-2)^2 \), which is \( 4 \). Then, calculate \( 9\times(-2) = -18 \). Now the expression becomes \( 4 + (-18) + 3 \).

Step3: Simplify the expression

Simplify \( 4 + (-18) + 3 \). \( 4 - 18 + 3 = (4 + 3) - 18 = 7 - 18 = -11 \).

Answer:

\( -11 \)