Mcdonald Chan
02/18/2024 · Senior High School
\( 3 x^{2} y^{3}-5 a^{2} x^{4} \) entre \( -3 x^{2} \)
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Tutor-Verified Answer
Step-by-step Solution
Para realizar la división del polinomio \( 3x^{2}y^{3} - 5a^{2}x^{4} \) entre \( -3x^{2} \), dividimos cada término del polinomio por \( -3x^{2} \).
1. **Dividir el primer término:**
\[
\frac{3x^{2}y^{3}}{-3x^{2}} = -y^{3}
\]
2. **Dividir el segundo término:**
\[
\frac{-5a^{2}x^{4}}{-3x^{2}} = \frac{5a^{2}x^{4}}{3x^{2}} = \frac{5a^{2}x^{2}}{3}
\]
Ahora, combinamos los resultados de ambas divisiones:
\[
\frac{3x^{2}y^{3} - 5a^{2}x^{4}}{-3x^{2}} = -y^{3} + \frac{5a^{2}x^{2}}{3}
\]
Por lo tanto, el resultado de la división es:
\[
-y^{3} + \frac{5a^{2}x^{2}}{3}
\]
Quick Answer
El resultado de la división es \(-y^{3} + \frac{5a^{2}x^{2}}{3}\).
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