Subtract the polynomials and simplify.
-$\left( - 6 m ^ { 2 } - 7 m + 8 \right) - \left( 2 m ^ { 2 } - 5 m - 9 \right)$
A) $- 8 m ^ { 2 } - 2 m + 17$
B) $- 8 m ^ { 2 } - 7 m ^ { 2 } + 5 m + 17$
C) $- 4 m ^ { 2 } - 12 m - 1$
D) $- 8 m ^ { 2 } - 12 m - 1$

Question

Quizplus · Accepted Answer

To subtract the polynomials, distribute the negative sign to the second polynomial and then combine like terms: $(-6m^2 - 7m + 8) - (2m^2 - 5m - 9) = -6m^2 - 7m + 8 - 2m^2 + 5m + 9 = -8m^2 - 2m + 17$.

Subtract the Polynomials and Simplify (−6m2−7m+8)−(2m2−5m−9)\left( - 6 m ^ { 2 } - 7 m + 8 \right) - \left( 2 m ^ { 2 } - 5 m - 9 \right)(−6m2−7m+8)−(2m2−5m−9)

Subtract the Polynomials and Simplify $\left( - 6 m ^ { 2 } - 7 m + 8 \right) - \left( 2 m ^ { 2 } - 5 m - 9 \right)$