Perform the indicated operations.
-$\left( 7 x ^ { 4 } - 5 x ^ { 3 } + 4 x ^ { 2 } - 1 \right) + \left( 3 x ^ { 4 } - 2 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)$
A) $- 3 x ^ { 4 } - 3 x ^ { 3 } + 12 x ^ { 2 } - 2$
B) $10 x ^ { 8 } - 7 x ^ { 6 } - 5 x ^ { 4 } + 4$
C) $10 x ^ { 4 } - 7 x ^ { 3 } - 5 x ^ { 2 } + 4$
D) $- 2 x ^ { 18 + 4 }$

Question

Perform the indicated operations.
-$\left( 7 x ^ { 4 } - 5 x ^ { 3 } + 4 x ^ { 2 } - 1 \right) + \left( 3 x ^ { 4 } - 2 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)$
A) $- 3 x ^ { 4 } - 3 x ^ { 3 } + 12 x ^ { 2 } - 2$
B) $10 x ^ { 8 } - 7 x ^ { 6 } - 5 x ^ { 4 } + 4$
C) $10 x ^ { 4 } - 7 x ^ { 3 } - 5 x ^ { 2 } + 4$
D)  $- 2 x ^ { 18 + 4 }$

Quizplus · Accepted Answer

To solve, add the coefficients of like terms: $7x^4 + 3x^4 = 10x^4$, $-5x^3 - 2x^3 = -7x^3$, $4x^2 - 9x^2 = -5x^2$, and $-1 + 5 = 4$.

Perform the Indicated Operations (7x4−5x3+4x2−1)+(3x4−2x3−9x2+5)\left( 7 x ^ { 4 } - 5 x ^ { 3 } + 4 x ^ { 2 } - 1 \right) + \left( 3 x ^ { 4 } - 2 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)(7x4−5x3+4x2−1)+(3x4−2x3−9x2+5)

Perform the Indicated Operations $\left( 7 x ^ { 4 } - 5 x ^ { 3 } + 4 x ^ { 2 } - 1 \right) + \left( 3 x ^ { 4 } - 2 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)$