+1277
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 y4 is 375.
But don't take my word for it, go there and check it for yourself. :-)
Is it considered cheating, to use a tool to avoid the drudgery of endless
multiplications? I don't consider it cheating to use any tool that has been
made available. The abacus, the slide rule, the calculator, the computer.
.
