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1. $\frac{[(888 \times 888 \times 888) - (222 \times 222 \times 222)]}{[(888 \times 888) + (888 \times 222) + (222 \times 222)]} = ?$

A. 777

B. 888

C. 1010

D. 666

Solution:

\begin{aligned} \frac{[(888 \times 888 \times 888) - (222 \times 222 \times 222)]}{[(888 \times 888) + (888 \times 222) + (222 \times 222)]} \\ = \frac{(888^{3} - 222^{3})}{[888^{2} + (888 \times 222) + 222^{2}]} \\ = 888 - 222 \\ = 666 \end{aligned}

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