Grade 12Magical Mathematics[Interesting Approach]
If a, b, c are real numbers and satisfy 1/a + 1/b + 1/c = 1/(a+b+c), then the value of ((1/a + 1/b + 1/c)^2007) - (2007 / ( a^2007 + b^2007 + c^2007 )) + ( 2006 / ((a + b + c)^2007 )) is :
(a)2
(b)0
(c)3
(d)1
If a, b, c are real numbers and satisfy 1/a + 1/b + 1/c = 1/(a+b+c), then the value of ((1/a + 1/b + 1/c)^2007) - (2007 / ( a^2007 + b^2007 + c^2007 )) + ( 2006 / ((a + b + c)^2007 )) is :
(a)2
(b)0
(c)3
(d)1
(a)2
(b)0
(c)3
(d)1
