The factor of the provided polynomial with the after the factorization process are similar to option C, which is
[tex](9a^3+10)(9a^3-10)[/tex]
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation in the problem is,
[tex]81a^6 - 100[/tex]
The above equation has the unknown variable a and the power of this unknown variable is 6. Write down the above equation in the squared form as,
[tex](9)^2(a^3)^2 - 10^2\\(9a^3)^2-10^2[/tex]
By the difference of squared formula, the above polynomial can be written as,
[tex](9a^3+10)(9a^3-10)[/tex]
Hence, the factor of the provided polynomial with the after the factorization process are similar to option C, which is
[tex](9a^3+10)(9a^3-10)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
