1.

`(a^(2))/(2) + (b^(3))/(3) - (3c^(3))/(4) + (a^(2))/(3) - (3b^(3))/(4) + (c^(2))/(2) - (3a^(2))/(4) + (b^(3))/(2) + (c^(3))/(3) = "______"`A. `(a^(2) + b^(3) + c^(3))/(12)`B. `(a^(2) + b^(3) - c^(3))/(6)`C. `(6a^(2) + 9b^(3) - 12c^(3))/(24)`D. `(6a^(2) + 9b^(3) - 12c^(3))/(12)`

Answer» Correct Answer - A
`(a^(2))/(2) + (b^(3))/(3) - (3c^(3))/(4) + (a^(2))/(3) - (3b^(3))/(4) + (c^(3))/(2) - (3a^(2))/(4) + (b^(3))/(2) + (c^(3))/(3)`
`= (a^(2))/(2) + (a^(2))/(3) - (3a^(2))/(4) + (b^(3))/(3)`
`- (3b^(3))/(4) + (b^(3))/(2) - (3c^(3))/(4) + (c^(3))/(2) + (c^(3))/(3)`
`(6a^(2) + 4a^(2) - 9a^(2))/(12) + (4b^(3) - 9b^(3) + 6b^(3))/(12) + (-9c^(3) + 6c^(3) + 4c^(3))/(12)`
` = (a^(2) + b^(3) + c^(3))/(12)`
Hence , the correct option is (a) .


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