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Aloiza [94]
3 years ago
9

Cual es el resultado de factorizar la expresion (-x⁴+ 25x²)

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Al factorizar la expresión dada obtenemos que es igual a x²*(5 - x)*(5 + 5)

Por propiedad de los números reales: tenemos que para a y b dos números reales, se cumple que:

(a² - b²) = (a + b)*(a - b)

Por lo tanto como tenemos: - x⁴ + 25x², ordenamos:

- x⁴ + 25x² = (25*x² - x⁴ = ((5x)² - (x²)²)

Usando la propiedad dada inicialmente: obtenemos que:

((5x)² - (x²)²) = (5x - x²)*(5x + x²)

Sacamos de cada término un factor común "x":

x*(5 - x)*x*(5 + x) = x²*(5 - x)*(5 + 5)

Puedes visitar: brainly.lat/tarea/12523641

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Answer:

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Step-by-step explanation:

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