Разложите на множители: (3p-2k)(2k+3p)-(3p-k)^2.

\[(3p - 2k)(2k + 3p) - (3p - k)^{2} =\]

\[= (3p - 2k)(3p + 2k) - \left( 9p^{2} - 6pk + k^{2} \right) =\]

\[= 9p^{2} - 4k^{2} - 9p^{2} + 6pk - k^{2} =\]

\[= - 5k^{2} + 6pk = k \cdot (6p - 5k).\]