(10D^9 - 6D^8 +4D^5) /(2D^3)

To simplify the expression

(10D^9 - 6D^8 + 4D^5) / (2D^3),

we can divide each term in the numerator by the denominator:

10D^9 / (2D^3) - 6D^8 / (2D^3) + 4D^5 / (2D^3).

When dividing like terms with the same base (D), we subtract the exponents:

= 5D^(9 - 3) - 3D^(8 - 3) + 2D^(5 - 3)

= 5D^6 - 3D^5 + 2D^2.

So, the simplified expression is 5D^6 - 3D^5 + 2D^2.