Ta có: \(f\left(x\right)=2x\left(x^2-1\right)-3x^2\left(x^2-3x+2\right)\)
\(=2x^3-2x-3x^4+9x^3-6x^2\)
\(=-3x^4+11x^3-6x^2-2x\)
Ta có: \(g\left(x\right)=3x^2\left(2-x^2\right)-2x\left(x^2-2x+1\right)\)
\(=6x^2-3x^4-2x^3+4x^2-2x\)
\(=-3x^4-2x^3+10x^2-2x\)
a) Ta có: \(2\cdot f\left(x\right)+g\left(x\right)\)
\(=-6x^4+22x^3-12x^2-4x-3x^4-2x^3+10x^2-2x\)
\(=-9x^4+20x^3-2x^2-6x\)
b: Ta có: \(2f\left(x\right)-3g\left(x\right)\)
\(=-6x^4+22x^3-12x^2-4x+9x^4+6x^3-30x^2+6x\)
\(=3x^4+28x^3-42x^2+2x\)
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