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If a,b,c are in A.P., then a^(3)+c^(3)-8...

If a,b,c are in A.P., then `a^(3)+c^(3)-8b^(3)` is equal to

A

2 abc

B

3abc

C

4abc

D

`-6 abc `

Text Solution

Verified by Experts

The correct Answer is:
D
2b=a+c
`rArr8b^(3)=(a+c)^(3)=a^(3)+c^(3)+3ac(a+c)`
or `8b^(3)=a^(3)+c^(3)+3ac(2b)`
or `a^(3)+c^(3)-8b^(3)=-6abc`
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Knowledge Check

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