What is the value of the expression $(-5)^3 + (-2)^3 + 2^3 + 5^3$?
So, $(-5)^3$ is just $-5 \cdot -5 \cdot -5$, which is $-125$. Similarly, $(-2)^3$ is $-2 \cdot -2 \cdot -2$, which is $-8$. On the other hand, $2^3$ is just $2 \cdot 2 \cdot 2$, which is $8$. And $5^3$ is $5 \cdot 5 \cdot 5$, which is $125$. Now I have $-125 + -8 + 8 + 125$. I can combine the terms that have the same sign and simplify. I get $(-125 + -8) + (8 + 125)$. This is $-133 + 133$. This is just $0$. 