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The simplified value of $${\left[ {{{\left( {0.111} \right)}^3} + {{\left( {0.222} \right)}^3} - {{\left( {0.333} \right)}^3} + {{\left( {0.333} \right)}^2}\left( {0.222} \right)} \right]^3} = ?$$
Answer & Solution
Correct Answer:
Option
B
According to question,
As we know that a + b + c = 0
Then,
a3 + b3 + c3 - 3abc = 0
$$\therefore {\left[ {{{\left( {0.111} \right)}^3} + {{\left( {0.222} \right)}^3} + {{\left( { - 0.333} \right)}^3} - 3 \times 0.111 \times 0.222 \times \left( { - 0.333} \right)} \right]^3} = 0$$
As we know that a + b + c = 0
Then,
a3 + b3 + c3 - 3abc = 0
$$\therefore {\left[ {{{\left( {0.111} \right)}^3} + {{\left( {0.222} \right)}^3} + {{\left( { - 0.333} \right)}^3} - 3 \times 0.111 \times 0.222 \times \left( { - 0.333} \right)} \right]^3} = 0$$
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