divide: 10m^3n^4 - 15mn / 5mn
A) 2m^4n^5 - 3m^3n^4
B) 5m^2n^3 - 10
C) 2m^2n^3 - 3
D) 2m^2n^2- 15mn
The correct answer is B) 5m^2n^3 - 10.
Here's the step-by-step division:
(10m^3n^4 - 15mn) / (5mn)
= 10m^3n^4 / (5mn) - 15mn / (5mn)
= 2m^2n^3 - 3
= 5m^2n^3 - 10
So, the quotient after dividing 10m^3n^4 - 15mn by 5mn is 5m^2n^3 - 10.