Perform the indicated operations and simplify. Assume that all exponents represent positive integers. $\left( - 2 x ^ { 3 n } + 2 x ^ { 2 n } - 4 x ^ { n } \right) - \left( 5 x ^ { 2 n } + 3 x ^ { n } - 2 \right)$
A) $- 2 x ^ { 3 n } - 3 x ^ { 2 n } - 7 x ^ { n } + 2$
B) $- 7 x ^ { 3 n } - 3 x ^ { 2 n } - 7 x ^ { n } + 2$
C) $- 7 x ^ { 3 n } - x ^ { 2 n } - 2 x ^ { n } - 2$
D) $- 2 x ^ { 3 n } + 7 x ^ { 2 n } - x ^ { n } - 2$
E) $- 7 x ^ { 3 n } - x ^ { 2 n } - 2 x ^ { n }$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first, we combine like terms: $-2x^{3n} + (2x^{2n} - 5x^{2n}) + (-4x^n - 3x^n) + 2 = -2x^{3n} - 3x^{2n} - 7x^n + 2$.

Perform the Indicated Operations and Simplify (−2x3n+2x2n−4xn)−(5x2n+3xn−2)\left( - 2 x ^ { 3 n } + 2 x ^ { 2 n } - 4 x ^ { n } \right) - \left( 5 x ^ { 2 n } + 3 x ^ { n } - 2 \right)(−2x3n+2x2n−4xn)−(5x2n+3xn−2)

Perform the Indicated Operations and Simplify $\left( - 2 x ^ { 3 n } + 2 x ^ { 2 n } - 4 x ^ { n } \right) - \left( 5 x ^ { 2 n } + 3 x ^ { n } - 2 \right)$