$\left(8 x^{4}-4 x^{3}-9 x^{2}+2\right)-\left(2 x^{4}+6 x^{3}-6 x^{2}-5\right)$
A) $10 x^{4}+2 x^{3}-15 x^{2}-3$
B) $6 x^{4}-2 x^{3}+15 x^{2}-3$
C) $6 x^{4}-10 x^{3}-3 x^{2}+7$
D) $10 x^{4}+2 x^{3}-15 x^{2}+7$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first gives: $8x^4 - 2x^4 = 6x^4$, $-4x^3 - 6x^3 = -10x^3$, $-9x^2 + 6x^2 = -3x^2$, and $2 - (-5) = 7$.

(8x4−4x3−9x2+2)−(2x4+6x3−6x2−5)\left(8 x^{4}-4 x^{3}-9 x^{2}+2\right)-\left(2 x^{4}+6 x^{3}-6 x^{2}-5\right)(8x4−4x3−9x2+2)−(2x4+6x3−6x2−5) A) 10x4+2x3−15x2−310 x^{4}+2 x^{3}-15 x^{2}-310x4+2x3−15x2−3

$\left(8 x^{4}-4 x^{3}-9 x^{2}+2\right)-\left(2 x^{4}+6 x^{3}-6 x^{2}-5\right)$ A) $10 x^{4}+2 x^{3}-15 x^{2}-3$