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Question

If a,b,c are in A.P., then a3+c3−8b3 is equal to

A
2abc
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B
6abc
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C
6abc
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D
2abc
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Solution

The correct option is B 6abc
Given : a,b,c are in A.P., so
2b=a+c
Now,
a3+c38b3=a3+c3(2b)3=a3+c3(a+c)3=a3+c3(a3+c3+3ac(a+c))=3ac(2b)=6abc

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