Answer
$6m^{2}+7mn-5n^{2}$
Work Step by Step
We are given the expression $(2m-n)(3m+5n)$. We can find the product of this expression using the FOIL method.
First terms: $2m\times 3m=6m^{2}$
Outer terms: $2m\times5n=10mn$
Inner terms: $-n\times 3m=-3mn$
Last terms: $-n\times5n=-5n^{2}$
Adding together: $6m^{2}+10mn+(-3mn)+(-5n^{2})=6m^{2}+10mn-3mn-5n^{2}=6m^{2}+7mn-5n^{2}$
