Question

[Ngo Viet Tien]

Cho            1/a     +     1/b      +   1/c   =   1/a+b+c

CMR :     1/a^2013  + 1/b^2013  +  1/c^2013  = 1/a^2013+b^2013+c^2013 

Answer 1

[lucy heartfilia]

1/a + 1/b + 1/c = 1/a+b+c

=> (  ab + bc + ca ) x ( a + b +c ) = abc 

=> ( ab + bc + ca ) x ( a + b ) + ( abc + bcc + cca - abc ) = 0 

=> ( ab + bc + ca ) x ( a + b ) + c²  x ( a + b ) = 0

=> ( a + b ) x ( a + c ) x ( b + c ) = 0

=> trong đó a , b đối nhau khi đó vì n lẻ nên

1/a²⁰¹³ + 1/b²⁰¹³ + 1/c²⁰¹³ = 1/c²⁰¹³ = 1/c²⁰¹³ + b ²⁰¹³ + c²⁰¹³

Answer 2

[Ngo Viet Tien]

cau xem fairy tail a