\[(3a + 10)(6c - 5a) - (8a - 9)(5a - 6c) =\]
\[= (3a + 10)(6c - 5a) + (8a - 9)(6c - 5a) =\]
\[= (6c - 5a)(3a + 10 + 8a - 9) =\]
\[= (6c - 5a)(11a + 1).\]