\( \Large \frac{ \left(52\right)^{3} - \left(42\right)^{3} }{52 \times 52 + 52 \times 42 + 42 \times 42} \)
= \( \Large \frac{ \left(52-42\right) \left(52 \times 52 + 52 \times 42 + 42 \times 42\right) }{52 \times 52 + 52 \times 42 + 42 \times 42} \)
= 10
[Formula: \( \Large a^{3} - b^{3} = \left(a - b\right) \left(a^{2} + ab + b^{2}\right) is \ used \)]