Maths · Functions
is equal to
\( \frac{0.86 \times 0.86 \times 0.86+0.14 \times 0.14 \times 0.1}{0.86 \times 0.86-0.86-0.14+0.14 \times 0.1} \) is equal to
- A. 1
- B. 0
- C. 2
- D. 10
Step-by-step solution
Set a = 0.86, b = 0.14, noting a + b = 1. The numerator suggests a³ + b³ (if the term 0.14×0.14×0.1 is a misprint for 0.14³) and denominator suggests a² - ab + b² (if the term -0.86 - 0.14 is actually -0.86×0.14). Using the identity (a³ + b³)/(a² - ab + b²) = a + b = 1, the expression equals 1. Among the options, only 1 fits, confirming the intended simplification.
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