$Find the value of (28)^{3} - (78)^{3} + (50)^{3} .$

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Solution

$Let a = 28, b = - 78, c = 50$

$Then, a + b + c = 28 - 78 + 50 = 0$

$a^{3} + b^{3} + c^{3} = 3 a b c .$

$So, (28)^{3} + (- 78)^{3} + (50)^{3} = 3 \times 28 \times (- 78) \times 50 = - 327600.$

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