divide
(9uz-6u^6 z^6+15u^7 z^4)/(3u^2 z^3)
First, simplify the numerator of the expression:
9uz - 6u^6 z^6 + 15u^7 z^4
Next, divide each term in the numerator by the denominator:
9uz / 3u^2 z^3 = 3z^-2 = 3/z^2
(-6u^6 z^6) / 3u^2 z^3 = -2u^4 z^3
(15u^7 z^4) / 3u^2 z^3 = 5u^5 z
Therefore, the division of the expression (9uz - 6u^6 z^6 + 15u^7 z^4) / (3u^2 z^3) simplifies to:
3/z^2 - 2u^4 z^3 + 5u^5 z