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The value of $$\frac{{\left( {0.545} \right)\left( {0.081} \right)\left( {0.51} \right)\left( {5.2} \right)}}{{{{\left( {0.324} \right)}^3} + {{\left( {0.221} \right)}^3} - {{\left( {0.545} \right)}^3}}}{\text{is:}}$$
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& {a^3} + {b^3} + {c^3} = 3abc \cr
& {\text{If }}a + b + c = 0 \cr
& a = 0.324 \cr
& b = 0.221 \cr
& c = - 0.545 \cr
& \frac{{\left( {0.545} \right)\left( {0.081} \right)\left( {0.51} \right)\left( {5.2} \right)}}{{3abc}} \cr
& = - \frac{{0.545 \times 0.081 \times 0.51 \times 5.2}}{{3 \times 0.324 \times 0.221 \times 0.545}} \cr
& = - \frac{{81 \times 510 \times 5.2}}{{3 \times 18 \times 18 \times 13 \times 17}} \cr
& = - 1 \cr} $$
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