a: \(=x^4+2x^2-x^2-2-x^2-6x+2x+12\)
\(=x^4-4x+10\)
b: \(=2x\left(2x^2+x+6x+3\right)-\left(3x^2-x+6x-2\right)\)
\(=2x\left(2x^2+7x+3\right)-\left(3x^2+5x-2\right)\)
\(=4x^3+14x^2+6x-3x^2-5x+2\)
\(=4x^3+11x^2+x+2\)
c: \(=x^3-25x+2x^2-50+\left(x^2+3x+2\right)\left(x+3\right)-2x^3-8x^2\)
\(=-x^3-6x^2-25x-50+x^3+6x^2+11x+6\)
=-14x-44