#1**0 **

*Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.*

That's way too much multiplication to do by hand.

Fortunately, a useful tool has been provided for us, at

**https://www.symbolab.com/solver/expand-calculator**

Per the "expand" tool on that page, the coefficient of y^{4} is **375**.

But don't take my word for it, go there and see it for yourself. :-)

Would it be cheating, to use that website to avoid the drudgery of endless

multiplications? I do not consider it cheating to use any tool that has been

made available. It used to be slide rules, then calculators, now computers.

_{.}

Bosco Jun 28, 2023