a) \(\left(x+3\right)\left(2x-1\right)-2x\left(x-4\right)\)
\(=2x^2-x+6x-3-2x^2+8x\)
\(=13x-3\)
b) \(\left(3x-2\right)\left(2x-3\right)-5\left(x^2+4\right)\)
\(=6x^2-9x-4x+6-5x^2-20\)
\(=x^2-13x-14\)
c) \(2x\left(x^2+1\right)-\left(2x-5\right)\left(x^2-6\right)\)
\(=2x^3+2x-\left(2x^3-12x-5x^2+30\right)\)
\(=2x^3+2x-2x^3+12x+5x^2-30\)
\(=5x^2+14x-30\)