Factor.
-$729 \mathrm{~s}^{3}+1$
A) $(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}-9 \mathrm{~s}+1\right)$
B) $(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}+1\right)$
C) $(9 \mathrm{~s}-1)\left(81 \mathrm{~s}^{2}+9 \mathrm{~s}+1\right)$
D) $(729 \mathrm{~s}+1)\left(\mathrm{s}^{2}-9 \mathrm{~s}+1\right)$

Question

Quizplus · Accepted Answer

The expression $729s^3 + 1$ is a sum of cubes, which can be factored as $(a^3 + b^3) = (a + b)(a^2 - ab + b^2)$. Here, $a = 9s$ and $b = 1$, so the factorization is $(9s + 1)(81s^2 - 9s + 1)$.

Factor - 729 s3+1729 \mathrm{~s}^{3}+1729 s3+1 A) (9 s+1)(81 s2−9 s+1)(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}-9 \mathrm{~s}+1\right)(9 s+1)(81 s2−9 s+1) B) (9 s+1)(81 s2+1)(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}+1\right)(9 s+1)(81 s2+1)

Factor
- $729 \mathrm{~s}^{3}+1$ A) $(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}-9 \mathrm{~s}+1\right)$ B) $(9 \mathrm{~s}+1)\left(81 \mathrm{~s}^{2}+1\right)$