Perform the indicated operations. Give the answer in lowest terms.
-$\frac{8}{z^{2}}-\frac{6}{z}$
A) $\frac{2(3 z-4)}{z}$
B) $\frac{2(4+3 z)}{z^{2}}$
C) $\frac{2(4 z+3)}{z^{2}}$
D) $\frac{2(4-3 z)}{z^{2}}$

Question

Quizplus · Accepted Answer

To perform the subtraction, find a common denominator, which is $z^2$. Rewrite $\frac{6}{z}$ as $\frac{6z}{z^2}$. Then, $\frac{8}{z^2} - \frac{6z}{z^2} = \frac{8 - 6z}{z^2}$. Factor the numerator to get $\frac{2(4 - 3z)}{z^2}$.

Perform the Indicated Operations 8z2−6z\frac{8}{z^{2}}-\frac{6}{z}z28​−z6​ A) 2(3z−4)z\frac{2(3 z-4)}{z}z2(3z−4)​ B) 2(4+3z)z2\frac{2(4+3 z)}{z^{2}}z22(4+3z)​ C) 2(4z+3)z2\frac{2(4 z+3)}{z^{2}}z22(4z+3)​

Perform the Indicated Operations $\frac{8}{z^{2}}-\frac{6}{z}$ A) $\frac{2(3 z-4)}{z}$ B) $\frac{2(4+3 z)}{z^{2}}$ C) $\frac{2(4 z+3)}{z^{2}}$