Упростите выражение (3x+x^2)^2-x^2(x-5)(x+5)+2x(8-3x^2).

\[\left( 3x + x^{2} \right)^{2} - x^{2}(x - 5)(x + 5) + 2x\left( 8 - 3x^{2} \right) =\]

\[= 9x^{2} + 6x^{3} + x^{4} - x^{2}\left( x^{2} - 25 \right) + 16x - 6x^{3} =\]

\[= 9x^{2} + x^{4} + 16x - x^{4} + 25x^{2} =\]

\[= 34x^{2} + 16x\]