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If m=- 4 , n=-2 then the value of m...

If ` m=- 4 , n=-2` then the value of `m^3 - 3m + 3m + 3n + 3n^2 + n^3` is

A

126

B

124

C

`-124`

D

`-126`

Text Solution

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The correct Answer is:
D

m =-4, n =-2
`m^3- 3m^2 + 3m + 3n + 3n^2 + n^3`
` = (-4)^3 -3(-4)^2 + 3(-4) + 3(-2) + 3(-2)^2 + (-2)^3 `
=-64-48-12-6 + 12 -8 =-126
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