Question

31 cube by identity method

Answer 1

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Here is your answer ⤵⤵

${31}^{3} = (30 + 1 {)}^{3} \\ \\ using \: identity \: \: (x + {y})^{3} = {x}^{3} + {y}^{3} + 3xy(x + y) \\ \\ {30}^{3} + {1}^{3} + 3(30)(1)(30 + 1) \\ \\ 27000 + 1 + 3(30)(31) \\ \\ 29791$

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