The correct option is B 35568We know that if a + b + c = 0 then a3 nbsp;+ b3 nbsp;+ c3 nbsp;= 3abc. a = 38, b = 26, c = 12 38 + ( 26) + ( 12) = 0 ∴ ( ...

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Standard VIII

Mathematics

Expansion of (a+b)^3

Evaluate 383+...

Question

Evaluate (38)³ + (-26)³ + (-12)³.

36578

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Solution

The correct option is B 35568
We know that if a + b + c = 0 then a³+ b³+ c³= 3abc.

a = 38, b = -26, c = -12
38 + (-26) + (-12) = 0

$∴$ (38)³ + (-26)³ + (-12)³= 3(38)(-26)(-12) = 35568

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Evaluate (38)3 + (-26)3 + (-12)3.

The correct option is B 35568We know that if a + b + c = 0 then a3 + b3 + c3 = 3abc. a = 38, b = -26, c = -12 38 + (-26) + (-12) = 0 ∴ (38)3 + (-26)3 + (-12)3 = 3(38)(-26)(-12) = 35568

Evaluate (38)³ + (-26)³ + (-12)³.

The correct option is B 35568
We know that if a + b + c = 0 then a³+ b³+ c³= 3abc.

a = 38, b = -26, c = -12
38 + (-26) + (-12) = 0

$∴$ (38)³ + (-26)³ + (-12)³= 3(38)(-26)(-12) = 35568