Problem

Simplify the given mathematical expression:
$\frac{18 x^{3} y^{2}+9 x^{2} y^{5}}{3 x^{3} y^{2}}$

Answer

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Answer

Final Answer: The simplified form of the given expression is \(\boxed{6 + \frac{3y^{3}}{x}}\).

Steps

Step 1 :The given mathematical expression is \(\frac{18 x^{3} y^{2}+9 x^{2} y^{5}}{3 x^{3} y^{2}}\).

Step 2 :To simplify this expression, we can divide each term in the numerator by the denominator. This will simplify the expression by reducing the powers of x and y in each term.

Step 3 :The simplified expression is \(6 + \frac{3y^{3}}{x}\).

Step 4 :Final Answer: The simplified form of the given expression is \(\boxed{6 + \frac{3y^{3}}{x}}\).

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