Question

evaluate the expression when $b = 12$ and $c = 6$.
$c^2 + 6(b - c)^2$
simplify your answer as much as possible.

Explanation:

Step1: Substitute b=12, c=6

$$\begin{aligned} c^2 + 6(b-c)^2 &= 6^2 + 6(12-6)^2 \end{aligned}$$

Step2: Calculate inner parentheses

$$\begin{aligned} &= 6^2 + 6(6)^2 \end{aligned}$$

Step3: Compute exponents

$$\begin{aligned} &= 36 + 6\times36 \end{aligned}$$

Step4: Perform multiplication then addition

$$\begin{aligned} &= 36 + 216 = 252 \end{aligned}$$

Answer:

252