# How do you simplify (25c^3d^3e^3 - 55c^4d^5e^7 + 35c^8d^7e^6) / (5c^2d^2e^3)?

(25c^3d^3e^3−55c^4d^5e^7+35c^8d^7e^6)/(5c^2d^2e^3)
(25c^3d^3e^3)/(5c^2d^2e^3) − (55c^4d^5e^7)/(5c^2d^2e^3) +(35c^8d^7e^6)/(5c^2d^2e^3)
$5 c d - 11 {c}^{2} {d}^{3} {e}^{4} + 7 {c}^{6} {d}^{5} {e}^{3}$
If you would like to factor further, the greatest common factor is $c d$:
$c d \left(5 - 11 c {d}^{2} {e}^{4} + 7 {c}^{5} {d}^{4} {e}^{3}\right)$