Question

Without actually calculating the cubes, find the value of:
0.5^3+0.8^3+0.3^3

Answer 1

0.5^3+0.8^3+0.3^3
= 0.125+0.512+0.027
=0.664 ans.....

Answer 2

(0.5)³ - (0.8)³ + (0.3)³ = - 0.36

Given :

The expression (0.5)³ - (0.8)³ + (0.3)³

To find :

The value of the expression without calculating the cubes

Formula :

If a + b + c = 0 then a³ + b³ + c³ = 3abc

Solution :

Step 1 of 2 :

Find the value of (0.5) - (0.8) + (0.3)

Let a = 0.5 , b = - 0.8 , c = 0.3

Then we have

a + b + c

= 0.5 - 0.8 + 0.3

= 0

Step 2 of 2 :

Find the value of the expression

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

Thus we get

(0.5)³ - (0.8)³ + (0.3)³

= (0.5)³ + ( - 0.8)³ + (0.3)³

= a³ + b³ + c³

= 3abc

= 3 × (0.5) × ( - 0.8) × (0.3)

= - 0.36

Correct question : Without actually calculating the cubes, find the value of (0.5)³ - (0.8)³ + (0.3)³

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