The step by step solution is listed below:
[tex]10 x^{8}+11 x^{6} -2x+5-(8 x^{8}+6 x^{7}-5) \\ \\
= 10 x^{8}+11 x^{6} -2x+5-8 x^{8}-6 x^{7}+5 \\ \\
=10 x^{8}-8x^{8}+11 x^{6} -6 x^{7}-2x+5+5 \\ \\
=2 x^{8}-6 x^{7} +11 x^{6}-2x+10 [/tex]
Thus,
Option A lists the correct answer.