Преобразуйте в многочлен стандартного вида: (-3n^2+2n+1)(3n^2+2n-1).

\[\left( - 3n^{2} + 2n + 1 \right)\left( 3n^{2} + 2n - 1 \right) =\]

\[= - \left( 3n^{2} - 1 - 2n \right)\left( 3n^{2} - 1 + 2n \right) =\]

\[= - \left( \left( 3n^{2} - 1 \right)^{2} - (2n)^{2} \right) =\]

\[= - \left( 9n^{4} - 6n^{2} + 1 - 4n^{2} \right) =\]

\[= - \left( 9n^{4} - 10n^{2} + 1 \right) =\]

\[= - 9n^{4} + 10n^{2} - 1.\]