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Question

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

A
2abc
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B
6abc
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C
4abc
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D
6abc
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Solution

The correct option is B 6abc
a, b, c are in A.P.

ba=cb

2b=a+c(i)

cubing on both sides

8b3=a3+c3+3ac(a+c)

From eq (i)

8b3=a3+c3+3ac(2b)

a3+c38b3=6abc.

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