Comienza simplificando la fracción \(\frac{-9 h^{4} + 27 h^{3}}{h^{2}}\) dividiendo cada término del numerador por el denominador \(h^{2}\).
Divide \(-9h^{4}\) por \(h^{2}\) para obtener \(-9h^{2}\).
Divide \(27h^{3}\) por \(h^{2}\) para obtener \(27h\).
La expresión simplificada es \(-9h^{2} + 27h\).
\(\boxed{-9h^{2} + 27h}\)
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