Respuesta:
A) x + y
Explicación paso a paso:
A = (x² - xy)/x³ + y²/x³
A = (x² - xy + y²)/x³ ...(i)
B = 1 + y³/x³
B = (x³ + y³)/x³ ...(ii)
Divides (i) a (ii):
=> B/A = (x³ + y³)/x³/(x² - xy + y²)/x³ (extremos - medios)
=> B/A = (x³ + y³)(x³)/(x² - xy + y²)(x³) →se divide x³
Recordar: (x³ + y³) = (x + y)(x² - xy + y²)
=> B/A = (x + y)(x² - xy + y²)/(x² - xy + y²) → se divide (x² - xy + y²)
=> B/A = x + y
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Verified answer
Respuesta:
A) x + y
Explicación paso a paso:
A = (x² - xy)/x³ + y²/x³
A = (x² - xy + y²)/x³ ...(i)
B = 1 + y³/x³
B = (x³ + y³)/x³ ...(ii)
Divides (i) a (ii):
=> B/A = (x³ + y³)/x³/(x² - xy + y²)/x³ (extremos - medios)
=> B/A = (x³ + y³)(x³)/(x² - xy + y²)(x³) →se divide x³
Recordar: (x³ + y³) = (x + y)(x² - xy + y²)
=> B/A = (x + y)(x² - xy + y²)/(x² - xy + y²) → se divide (x² - xy + y²)
=> B/A = x + y