Subtract.
-$\left(9 x^{5}-13 x^{2}-17\right)-\left(-8 x^{2}+5 x^{5}-12\right)$
A) $4 x^{5}-5 x^{2}-5$
B) $-6 x^{7}$
C) $4 x^{5}-8 x^{2}-29$
D) $4 x^{5}-5 x^{2}-29$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the second polynomial and then combining like terms: $9x^5 + 5x^5 = 14x^5$ and $-13x^2 - (-8x^2) = -13x^2 + 8x^2 = -5x^2$, and $-17 - (-12) = -17 + 12 = -5$. Thus, the result is $14x^5 - 5x^2 - 5$, which is not an option, indicating a mistake in my initial explanation. The correct subtraction should be: $9x^5 - 5x^5 = 4x^5$, $-13x^2 - (-8x^2) = -13x^2 + 8x^2 = -5x^2$, and $-17 - (-12) = -17 + 12 = -5$, which correctly matches option A: $4x^5 - 5x^2 - 5$. My initial calculation was incorrect; the correct subtraction yields $4x^5 - 5x^2 - 5$, matching option A.

Subtract - (9x5−13x2−17)−(−8x2+5x5−12)\left(9 x^{5}-13 x^{2}-17\right)-\left(-8 x^{2}+5 x^{5}-12\right)(9x5−13x2−17)−(−8x2+5x5−12) A) 4x5−5x2−54 x^{5}-5 x^{2}-54x5−5x2−5 B) −6x7-6 x^{7}−6x7

Subtract
- $\left(9 x^{5}-13 x^{2}-17\right)-\left(-8 x^{2}+5 x^{5}-12\right)$ A) $4 x^{5}-5 x^{2}-5$ B) $-6 x^{7}$