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If a-b=6 and a b=20 , find the value of ...

If `a-b=6` and `a b=20 ,` find the value of `a^3-b^3`

A

`576`

B

`500`

C

`566`

D

`560`

Text Solution

Verified by Experts

The correct Answer is:
A
a-b=6,ab=20
`(a-b)^3=a^3-b^3-3ab(a-b)`
`6*6*6=a^3-b^3-3*20(6)`
`216=a^3-b^3-360`
`a^3-b^3=216+360=576.`
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