Question

(0.111)cube + (0.222)cube-(0.333)cube+(0.333)square(0.222)
simplified value of ?​

Answer 1

Answer:

hope it helps

Step-by-step explanation:

The simplified value of [(0.111)3 + (0.222)3 – (0.333)3 + (0.333)3 (0.222)]3 is :

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