Question

evaluate the expression when c = -3.
$c^2 - 6c + 9$

Explanation:

Step1: Substitute \( c = -3 \) into the expression

We have the expression \( c^2 - 6c + 9 \). Substitute \( c=-3 \) into it: \( (-3)^2 - 6\times(-3)+9 \)

Step2: Calculate each term

First, calculate \( (-3)^2 = 9 \). Then, calculate \( -6\times(-3)=18 \). Now the expression becomes \( 9 + 18+9 \)

Step3: Sum the terms

Add the numbers: \( 9 + 18 = 27 \), then \( 27+9 = 36 \)

Answer:

\( 36 \)