Question

Si: a+b=5; y ademas: ab=2
Calcular: a³ + b³



para hoy porfavor

Answer 1

(a+b)³=a³+3(a+b) (a•b)+b³
5³. = a³+3(5)(2)+b³
125. = a³+30+b³
a³+b³=95

Answer 2

a+b= 5
ab=2

(a+b)^3= a³ + b³+ 2(ab)(a+b)
(5)^3 = a³ + b³ + 2(2)(5)
125 = a³ + b³ + 4×5
125 = a³ + b³ + 20 (-20)
125 - 20 = a³ + b³ + 20 - 20
105 = a³ + b³

•a³ + b³= 105