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Question

If ab+bc+ca=0, then the value of 1a2−bc+1b2−ca+1c2−ab is ____.

A
1
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B
a+b+c
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C
abc
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D
0
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Solution

The correct option is D 0
Put bc=ab+ca,ca=ab+bc,ab=bc+ca, We get
1a(a+b+c)+1b(a+b+c)+1c(a+b+c)

1a+b+c(ab+bc+caabc)

=0(ab+bc+ca=0)


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