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Question

Evaluate (13)3 + (-8)3 + (-5)3 .

A
1650
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B
1500
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C
1200
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D
1560
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Solution

The correct option is D 1560

We know that if a + b + c = 0 then a3 + b3 + c3 = 3abc

a = 13, b = -8 and c = -5

13 + (-8) + (-5) = 0

133 + (-8)3 + (-5)3 = 3(13)(-8)(-5) = 1560


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