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\( \Large \frac{8.73 \times 8.73 \times 8.73 + 4.27 \times 4.27 \times 4.27}{8.73 \times 8.73 - 8.73 \times 4.27 + 4.27 \times 4.27} \) is equal t o
A) 11
B) 13
C) \( \Large \frac{11}{7} \)
D) None of these
Correct answer:
B) 13
Description for Correct answer:
Let 8.73 = a and 4.27 = b
\( \Large \frac{a^{3} + b^{3}}{a^{2} - ab + b^{2}} \)
\( \Large \frac{ \left(a+b\right) \left(a^{2}-ab+b^{2}\right) }{ \left(a^{2}-ab+b^{2}\right) } = \left(a + b\right) \)
= 8.73 + 4.27 = 13
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