The correct option is D 1560We 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 = ...

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Byju's Answer

Standard VIII

Mathematics

Expansion of (a+b)^3

Evaluate 133+...

Question

Evaluate (13)³ + (-8)³ + (-5)^{3 .}

1650

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1500

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1200

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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

Suggest Corrections

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

The correct option is D 1560We 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

Evaluate (13)³ + (-8)³ + (-5)^{3 .}

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