1.

If 3 + 5 – 8 = 0, then find the value of (3)3 + (5)3– (8)3 .

Answer»

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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