Divide. The quantity 8 times m to the seventh power minus 10 times m to the fifth power, all divided by 2 times m cubed

Question

A. 4 times m to the seventh power minus 5 times m to the fifth power
B. 4 times m to the fourth power minus 10 times m to the fifth power
C. 8 times m to the seventh power minus 10 times m squared
D. 4 times m to the fourth power minus 5 times m squared

Answer 1

The correct answer is A.

To divide, we need to divide each term in the numerator by the denominator:

$\frac{8m^7 - 10m^5}{2m^3} = \frac{8m^7}{2m^3} - \frac{10m^5}{2m^3} = 4m^{7-3} - 5m^{5-3} = 4m^4 - 5m^2$

Therefore, the answer is A.