Question

evaluate the expression when m = 4 and n = 2. 3n + 2(2n + m) + m^2 = ?

Explanation:

Step1: Substitute values

Substitute $m = 4$ and $n = 2$ into the expression:
$3\times2+2(2\times2 + 4)+4^{2}$

Step2: Calculate inside parentheses

First, calculate $2\times2 + 4$ inside the parentheses:
$2\times2+4=4 + 4=8$
The expression becomes $3\times2+2\times8+4^{2}$

Step3: Calculate multiplications and exponent

Calculate $3\times2 = 6$, $2\times8=16$ and $4^{2}=16$
The expression is now $6 + 16+16$

Step4: Calculate sum

$6+16 + 16=38$

Answer:

$38$