[tex]\text{Simplify:}\\\\(3p-1)(2p+5)-6p(p-2)\\\\\text{Use FOIL:}\\\\6p^2+13p-5-6p(p-2)\\\\6p^2+13p-5-6p^2+12p\\\\\text{Combine like terms:}\\\\13p+12p-5\\\\\boxed{25p-5}[/tex]