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The simplified value of [(0.111)3 + (0.222)3 – (0.333)3 + (0.333)3 (0.222)]3 is :
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- 0.999
- 0
- 0.888
- 0.111
Correct Option: B
Using (x) of Basic Formulae
If a + b + c = 0, then
a3 + b3 + c3 = 3abc
Here, 0.111 + 0.222 + (–0.333) = 0
∴ (0.111)3 + (0.222)3 + (–0.333)3
= –3 × 0.111 × 0.222 × 0.333
= – (0.333)2 × 0.222
∴ Expression
= [–(0.333)2 × 0.222 + (0.333)2 × 0.222]3 = 0
