a) Ta có: \(P\left(x\right)=8-2x^4+x^5-3x^6+x^3-x+3x^6+2x-2\)
\(=x^5-2x^4+x^3+x+6\)
Ta có: \(Q\left(x\right)=3x^5-4x^3+2x^2-3+2x-x^5\)
\(=2x^5-4x^3+2x^2+2x-3\)
Ta có: \(P\left(x\right)+Q\left(x\right)\)
\(=x^5-2x^4+x^3+x+6+2x^5-4x^3+2x^2+2x-3\)
\(=3x^5-2x^4-3x^3+2x^2+3x+3\)
Ta có: P(x)-Q(x)
\(=x^5-2x^4+x^3+x+6-2x^5+4x^3-2x^2-2x+3\)
\(=-x^5-2x^4+5x^3-2x^2-x+9\)
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