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Answer :
The division of these expressions "(-18xu+9x^(7)u^(5)+24x^(7)u^(4))-:(3x^(3)u^(2))" gives the simplified expression "3x^(4)u^(3) + 8x^(4)u^(2) - 6/(x^(2)u)":
To simplify the given expression, we need to divide each term by the divisor 3x^(3)u^(2):(-18xu)/(3x^(3)u^(2)) + (9x^(7)u^(5))/(3x^(3)u^(2)) + (24x^(7)u^(4))/(3x^(3)u^(2))
Simplifying each term by canceling out common factors gives us:
-6/(x^(2)u) + 3x^(4)u^(3) + 8x^(4)u^(2)
Combining like terms gives us the final simplified expression:
3x^(4)u^(3) + 8x^(4)u^(2) - 6/(x^(2)u).
Therefore, the simplified expression is 3x^(4)u^(3) + 8x^(4)u^(2) - 6/(x^(2)u).
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