Question

What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 10) (9a3 − 10)(9a3 − 10).

Answer 1

The factor of the provided polynomial with the after the factorization process are similar to option C, which is

$(9a^3+10)(9a^3-10)$

What is factor of polynomial?

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,

$81a^6 - 100$

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,

$(9)^2(a^3)^2 - 10^2\\(9a^3)^2-10^2$

By the difference of squared formula, the above polynomial can be written as,

$(9a^3+10)(9a^3-10)$

Hence, the factor of the provided polynomial with the after the factorization process are similar to option C, which is

$(9a^3+10)(9a^3-10)$

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