2ху^3/8х^2у^2

To simplify the expression \(\frac{2hu^3}{8x^2u^2}\), follow these steps:

1. Factor out the coefficients and simplify: The coefficient in the numerator is 2, and in the denominator, it is 8.

   \[ \frac{2}{8} = \frac{1}{4} \]

2. Simplify the variables: For the variable \(u\): \[ \frac{u^3}{u^2} = u^{3-2} = u^1 = u \]

3. Put it all together: Now we combine everything we have simplified. \[ \frac{2hu^3}{8x^2u^2} = \frac{1}{4} \cdot \frac{u}{x^2} = \frac{hu}{4x^2} \]

Thus, the simplified expression is: \[ \frac{h u}{4 x^2} \]