Question : The value of $\frac{146 \times 146 \times 146-143 \times 143 \times 143}{146 \times 146+143 \times 143+146 \times 143}$ is:
Option 1: 0
Option 2: 3
Option 3: 289
Option 4: 1
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Correct Answer: 3
Solution :
$\frac{146 \times 146 \times 146-143 \times 143 \times 143}{146 \times 146+143 \times 143+146 \times 143}$
$= \frac{146^3-143^3}{146^2+143^2+146 \times 143}$
$=\frac{(146-143)(146^2+143^2+146 \times 143)}{146^2+143^2+146 \times 143}$
$=146 - 143$
$=3$
Hence, the correct answer is 3.
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