Question

a+b+c=0 Calculați (a/b+c + b/a+c + c+/a+b)•(b+c/a + a+c/b + a+b/c)​

Answer 1

Răspuns:

9

Explicație pas cu pas:

$a + b = - c \\ a + c = - b \\ b + c = - a \\ ( \frac{a}{ - a} + \frac{b}{ - b} + \frac{c}{ - c} ) \times ( \frac{ - a}{a} + \frac{ - b}{b} + \frac{ - c}{c} ) \\ = ( - 1 - 1 - 1) \times ( - 1 - 1 - 1) \\ = ( - 3) \times ( - 3) \\ = 9$