Perform the indicated operations.
-$(7 m-2)\left(2 m^{2}+m+9\right)$
A) $9 m^{2}+61 m-18$
B) $14 m^{3}+3 m^{2}+61 m-18$
C) $14 \mathrm{~m}^{3}-11 \mathrm{~m}^{2}+61 \mathrm{~m}-18$
D) $14 \mathrm{~m}^{3}+61 \mathrm{~m}-18$

Question

Quizplus · Accepted Answer

To solve this, we distribute each term in the first polynomial across the second polynomial: $7m(2m^2) + 7m(m) + 7m(9) - 2(2m^2) - 2(m) - 2(9)$. This simplifies to $14m^3 + 7m^2 + 63m - 4m^2 - 2m - 18$, which further simplifies to $14m^3 + 3m^2 + 61m - 18$.

Perform the Indicated Operations (7m−2)(2m2+m+9)(7 m-2)\left(2 m^{2}+m+9\right)(7m−2)(2m2+m+9) A) 9m2+61m−189 m^{2}+61 m-189m2+61m−18 B) 14m3+3m2+61m−1814 m^{3}+3 m^{2}+61 m-1814m3+3m2+61m−18

Perform the Indicated Operations $(7 m-2)\left(2 m^{2}+m+9\right)$ A) $9 m^{2}+61 m-18$ B) $14 m^{3}+3 m^{2}+61 m-18$