Answer
$31$
Work Step by Step
Recall, in order to solve problems involving order of operations, we use the PEMDAS rule.
First Priority: P - parentheses and other grouping symbols
Second Priority: E - exponents
Third Priority: M/D - Multiplication or division, whichever comes first from the left to the right
Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left to the right
We follow order of operations to obtain that the expression, $
-3(-4)^2-2(-3)^3+(-5)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
-3(-4)(-4)-2(-3)(-3)(-3)+(-5)(-5)
\\\\=
-48+54+25
\\\\=
6+25
\\\\=
31
.\end{array}
