Answer
$17$
Work Step by Step
We start with the given expression: $a^2w-h^2+2h$
We plug in values for $h$, $a$, and $w$: $(2)^2\times8-(5)^2+2(5)$
The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. We use this to simplify the expression:
First, we simplify powers: $4\times8-25+2(5)$
Then, we multiply: $32-25+10$
Finally, we add and subtract from left to right: $7+10=17$