What is the Value of $\frac{0.74 \times 1.23 \times 0.13}{(0.37)^3 + (0.41)^3 - 8(0.39)^3}$?
Answer & explanation
Correct answer: option 1
$\frac{0.74 \times 1.23 \times 0.13}{(0.37)^3 + (0.41)^3 - 8(0.39)^3}$
= $\frac{0.74 \times 1.23 \times 0.13}{(0.37)^3 + (0.41)^3 - (0.78)^3}$
If a + b + c = 0, then a3 + b3 + c3 = 3abc
So, 0.37 + 0.41 – 0.78 = 0, then 0.373 + 0.413 – 0.783 = – 3 × 0.37 × 0.41 × 0.78
= $\frac{0.74 \times 1.23 \times 0.13}{– 3 × 0.37 × 0.41 × 0.78}$
= \(\frac{-1}{3}\)