(3c² + 2d)(–5c² + d)-------->(3c²)*(-5c²)+(3c²)*(d)+(2d)*(-5c²)+(2d)*(d)
then
(3c²)*(-5c²)-------------> -15c^4
(3c²)*(d)----------------> +3dc²
(2d)*(-5c²)-------------> -10dc²
(2d)*(d)----------------> +2d²
[(3c² + 2d)(–5c² + d)]=[-15c^4+3dc²-10dc²+2d²]-------> [-15c^4-7dc²+2d²]