Subtract.
-$$\left( - 9 a ^ { 2 } b ^ { 4 } + 3 a b ^ { 2 } + 4 a b \right) - \left( 7 a ^ { 2 } b ^ { 4 } + 5 a b ^ { 2 } - a b \right)$$
A) $16 a ^ { 2 } b ^ { 4 } + 2 a b ^ { 2 } - 5 a b$
B) $- 16 a ^ { 2 } b ^ { 4 } - 2 a b ^ { 2 } + 5 a b$
C) $- 16 a ^ { 2 } b ^ { 4 } + 2 a b ^ { 2 } + 3 a b$
D) $- 2 a ^ { 2 } b ^ { 4 } + 8 a b ^ { 2 } + 3 a b$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the terms in the second polynomial and then combining like terms. The correct subtraction is $(-9a^2b^4 - 7a^2b^4) + (3ab^2 - 5ab^2) + (4ab - (-ab))$, which simplifies to $-16a^2b^4 - 2ab^2 + 5ab$.

Subtract - (−9a2b4+3ab2+4ab)−(7a2b4+5ab2−ab)\left( - 9 a ^ { 2 } b ^ { 4 } + 3 a b ^ { 2 } + 4 a b \right) - \left( 7 a ^ { 2 } b ^ { 4 } + 5 a b ^ { 2 } - a b \right)(−9a2b4+3ab2+4ab)−(7a2b4+5ab2−ab)

Subtract
- $\left( - 9 a ^ { 2 } b ^ { 4 } + 3 a b ^ { 2 } + 4 a b \right) - \left( 7 a ^ { 2 } b ^ { 4 } + 5 a b ^ { 2 } - a b \right)$