. If 3 + 5 – 8 = 0, then the value of (3)^3 + (5)^3 – (8)^3 is
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Given : 3 + 5 + (-8) = 0.
Then, 33 + 53 + (-8)3 = ?
Using, identity... If a + b + c = 0,
then a3 + b3 + c3 = 3abc
Let a = 3, b = 5 and c = -8.
Here, a + b + c = 3 + 5 + (-8) = 0.
Then, a3 + b3 + c3 = 3abc
= 3 x 3 x 5 x -8
= 9 x -40
= -360
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