Subtract.
-$$\left( 8 x ^ { 2 n } + 13 x ^ { n } + 7 \right) - \left( 4 x ^ { 2 n } + 9 x ^ { n } + 13 \right)$$
A) $4 x ^ { 2 n } + 17 x ^ { n } + 20$
B) $4 x ^ { 2 n } + 4 x ^ { n } + 20$
C) $4 x ^ { 2 n } + 4 x ^ { n } - 6$
D) $4 x ^ { 4 n } + 4 x ^ { 2 n } - 6$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first, term by term, gives: $8x^{2n} - 4x^{2n} = 4x^{2n}$, $13x^n - 9x^n = 4x^n$, and $7 - 13 = -6$. Therefore, the result is $4x^{2n} + 4x^n - 6$.

Subtract - (8x2n+13xn+7)−(4x2n+9xn+13)\left( 8 x ^ { 2 n } + 13 x ^ { n } + 7 \right) - \left( 4 x ^ { 2 n } + 9 x ^ { n } + 13 \right)(8x2n+13xn+7)−(4x2n+9xn+13)

Subtract
- $\left( 8 x ^ { 2 n } + 13 x ^ { n } + 7 \right) - \left( 4 x ^ { 2 n } + 9 x ^ { n } + 13 \right)$