Question

i have a solution, but want a snappy one.
what is the sum of the coefficients of
\[(3x-3x^2+1)^{744}(-3x+3x^2+1)^{755}\]

Answer 1

Hummmmmmmmmm very hard

Answer 2

\[P(x)=(3x-3x^2+1)^{744}(-3x+3x^2+1)^{755}\]\[\mbox{Sum of the coefficients of}\quad P(x)\quad\mbox{is}\quad P(1)=1\mbox{.}\]

Answer 3

yes, that was the snappy answer i wanted. i did algebra first, but it was unnecessary