Question

evaluate the expression when m = -5. m² + 8m + 2

Explanation:

Step1: Substitute m value

Substitute $m=-5$ into $m^{2}+8m + 2$. So we get $(-5)^{2}+8\times(-5)+2$.

Step2: Calculate square term

Calculate $(-5)^{2}=25$. The expression becomes $25+8\times(-5)+2$.

Step3: Calculate multiplication term

Calculate $8\times(-5)=-40$. The expression is now $25 - 40+2$.

Step4: Calculate addition and subtraction

First, $25-40=-15$. Then, $-15 + 2=-13$.

Answer:

$-13$