`P(x)+Q(x)=7x^4+x^3-3x^2+12x-7+x^3-5x+2`
`P(x)+Q(x)=7x^3+(x^3+x^3)-3x^2+(12x-5x)+(-7+2)`
`P(x)+Q(x)=7x^3+2x^3-3x^2+7x-5`
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`P(x)-Q(x)=7x^4+x^3-3x^2+12x-7-(x^3-5x+2)`
`P(x)-Q(x)=7x^4+x^3-3x^2+12x-7-x^3+5x-2`
`P(x)-Q(x)=7x^4+(x^3-x^3)-3x^2+(12x+5x)+(-7-2)`
`P(x)-Q(x)=7x^4-3x^2+17x-9`