Super Slick Simplification

Notice that the seventh parentheses is $(7^3-343)$ , which is $0$ . This makes the whole product $\boxed{0}$ .

The expression can be rewritten as : $\displaystyle\prod_{r=1}^{350} (r^3 +r -350)$ $\rightarrow\ r^3+r-350 = 0 \Rightarrow\ r=7 \therefore\displaystyle\prod_{r=1}^{350} (r^3 +r -350) = \boxed{0}$

Write a solution. Prod. (n^3+n-350) @ n = 7 ---> the value will be 0

If you just follow the pattern there, you will notice that the the seventh term in this whole is $(7^3-343)$ which is the same as 0.So, the expression simplifies to $\boxed{0}$ .

since $(7^3-343=0)$ , the whole expression gets 0

any number multiplied by zero is zero.