Without actually calculating the cubes, find the value of : Without actually calculating the cubes, find the value of :(1/2)³+(1/3)³-(5/6)³

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Solution

Dear student
${(\frac{1}{2})}^{3} + {(\frac{1}{3})}^{3} - {(\frac{5}{6})}^{3} = \frac{1}{8} + \frac{1}{27} - \frac{125}{216} = \frac{27 + 8 - 125}{216} = \frac{- 90}{216} = - \frac{5}{12}$

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Without actually calculating the cubes, find the value of :

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{(\frac{1}{2})}^{3} + {(\frac{1}{3})}^{3} - {(\frac{5}{6})}^{3}

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