Factor the polynomial completely
-$49 s^{2}-81 t^{4}$
A) $\left(7 s-9 t^{2}\right)^{2}$
B) $\left(7 s+9 t^{2}\right)^{2}$
C) $\left(49 \mathrm{~s}+\mathrm{t}^{2}\right)\left(\mathrm{s}-81 \mathrm{t}^{2}\right)$
D) $\left(7 \mathrm{~s}+9 \mathrm{t}^{2}\right)\left(7 \mathrm{~s}-9 \mathrm{t}^{2}\right)$

Question

Quizplus · Accepted Answer

This polynomial is a difference of squares, which factors into $(a+b)(a-b)$ where $a = 7s$ and $b = 9t^2$, resulting in $(7s+9t^2)(7s-9t^2)$.

Factor the Polynomial Completely - 49s2−81t449 s^{2}-81 t^{4}49s2−81t4 A) (7s−9t2)2\left(7 s-9 t^{2}\right)^{2}(7s−9t2)2

Factor the Polynomial Completely
- $49 s^{2}-81 t^{4}$ A) $\left(7 s-9 t^{2}\right)^{2}$