Answer
10
Work Step by Step
$2a^2+5-c$ $\longrightarrow$substitute the given values for each variable
$2(2^2)+5-3$ $\longrightarrow$PEMDAS says to resolve exponent first
$2(4)+5-3$ $\longrightarrow$PEMDAS tells us to multiply next
$8+5-3$ $\longrightarrow$add
$13-3$ $\longrightarrow$subtract
$10$