a.
\(A\left(x\right)+B\left(x\right)+C\left(x\right)=\left(3x^6-5x^4+2x^2-7\right)+\left(8x^6+7x^4-x^2+11\right)+\left(x^6+7x^4-x^2+6\right)\)
\(=12x^6+9x^4+10\)
b.
\(A\left(x\right)-B\left(x\right)+C\left(x\right)=\left(3x^6-5x^4+2x^2-7\right)-\left(8x^6+7x^4-x^2+11\right)+\left(x^6+7x^4-x^2+6\right)\)
\(=-4x^6-5x^4+2x^2-12\)
c.
\(A\left(x\right)-B\left(x\right)-C\left(x\right)=\left(3x^6-5x^4+2x^2-7\right)-\left(8x^6+7x^4-x^2+11\right)-\left(x^6+7x^4-x^2+6\right)\)
\(=-6x^6-19x^4+4x^2-24\)