without actually calculating the cubes find the value of (-13)^3 +(8)^3+ (5)^3
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Answer:
The value of the given expression is -1560
Step-by-step explanation:
Concept to be known =
When a + b + c = 0
Then a^3 + b^3 + c^3 = 3abc
Here,
a + b + c = -13 + 8 + 5 = 0
Therefore,
(-13)^3 + (8)^3 + (5)^3 = 3(-13)(8)(5)
= -1560
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