Subtract the polynomials and simplify.
-Subtract $\left( - 7 m ^ { 3 } - 6 m - 6 \right)$ from $\left( - 5 m ^ { 3 } - 4 m - 8 \right)$.
A) $- 2 m ^ { 3 } - 2 m + 2$
B) $- 5 m ^ { 3 } + 7 m ^ { 2 } + 2 m - 2$
C) $2 m ^ { 3 } + 2 m - 2$
D) $2 m ^ { 3 } - 10 m - 14$

Question

Quizplus · Accepted Answer

Subtracting the polynomials involves changing the signs of the second polynomial and then adding it to the first. The correct subtraction is $(-5m^3 - 4m - 8) - (-7m^3 - 6m - 6) = -5m^3 + 7m^3 - 4m + 6m - 8 + 6 = 2m^3 + 2m - 2$.

Subtract the Polynomials and Simplify (−7m3−6m−6)\left( - 7 m ^ { 3 } - 6 m - 6 \right)(−7m3−6m−6)

Subtract the Polynomials and Simplify $\left( - 7 m ^ { 3 } - 6 m - 6 \right)$