1: \(f\left(x\right)=2x^3+2x^2+5x+7\)
\(g\left(x\right)=-2x^2+4-3x^2+7x^3+1=7x^3-5x^2+5\)
2: \(f\left(x\right)+g\left(x\right)=2x^3+2x^2+5x+7+7x^3-5x^2+5\)
\(=9x^3-3x^2+5x+12\)
3: \(f\left(x\right)-g\left(x\right)=2x^3+2x^2+5x+7-7x^3+5x^2-5=-5x^3+7x^2+5x+2\)