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Question

If a,b,c are in A.P., then a3+c38b3 is equal to

A
2abc
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B
6abc
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C
4abc
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D
none of these
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Solution

The correct option is D none of these
As a,b,c are in A.P

2b=a+c

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

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

a3+c38b3=6abc

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