Question

m+n=5 y mn=3
Calcula:m³ +n³​

Answer 1

Respuesta:

Si: m + n = 5 y mn = 3

(m + n)² = 5²

m² + n² + 2mn = 25

m² + n² + 2(3) = 25

m² + n² + 6 = 25

m² + n² = 19

(m + n)³ = 5³

m³ + n³ + 3mn(m + n) = 125

m³ + n³ + 3(3)(5) = 125

m³ + n³ + 45 = 125

m³ + n³ = 80

R = m³ + n² + m² + n³

R = m³ + n³ + m² + n²

R = 80 + 19

R = 99