Question

Sabiendo que: a2 + b2 + c2 = 6, a + b + c = 4
Hallar: E = (a +b)2 + (a + c)2 + (b +c)2

Answer 1

Respuesta:

E=22

Explicación paso a paso:

(a+b+c)²=(4)²

a²+b²+c²+2ab+2ac+2bc=16

6+2ab+2ac+2bc=16

2ab+2ac+2bc=10

E= (a +b)² + (a + c)² + (b +c)²

E= a²+b²+2ab+a²+c²+2ac+b²+c²+2bc

E=2a²+2b²+2c²+2ab+2ac+2bc

E=2(a²+b²+c²)+10

E=2(6)+10

E=12+10

E=22