Question

divide: \\(dfrac{10m^3n^4 - 15mn}{5mn}\\)\\(2m^4n^5 - 3m^2n^2\\)\\(5m^2n^3 - 10\\)\\(2m^2n^3 - 15mn\\)\\(2m^2n^3 - 3\\)

Explanation:

Step1: Split the fraction into two terms

$\frac{10m^3n^4 - 15mn}{5mn} = \frac{10m^3n^4}{5mn} - \frac{15mn}{5mn}$

Step2: Simplify the first term

$\frac{10m^3n^4}{5mn} = 2m^{3-1}n^{4-1} = 2m^2n^3$

Step3: Simplify the second term

$\frac{15mn}{5mn} = 3$

Step4: Combine simplified terms

$2m^2n^3 - 3$

Answer:

$\boldsymbol{2m^2n^3 - 3}$ (corresponding to the last option)