CHO ABC=2015, TÍNH 2015A = AB A + BC B + AC C+ + + + + +2015 2015 2015...

Bài 1: Cho abc=2015, Tính 2015

A = ab a + bc b + ac c

+ + + + + +

2015 2015 2015 1

HD :

2

a bc b c

A = ab a bc abc + bc b abc + ac c

2 1

= + + = + + =

a bc b c ac c

1 1 1 1 1

( ) ( )

+ + + + + + + +

ab ac c b c ac ac c ac c

a b c

B = ab a + bc b + ac c