數學難題 希望可以快點有解答

x⁴ + 324
= x⁴ + 18^2
= x⁴ + 2x² 18 + 18² - 2x² 18
= (x² + 18)² - (6x)²
= (x² - 6x + 18)(x² + 6x + 18)
= (x² - 6x + 9 + 9)(x² + 6x + 9 + 9)
= [(x - 3)² + 9] [(x + 3)² + 9] ∴

(10⁴+ 324) (22⁴+ 324) (34⁴+ 324) (46⁴+ 324)
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(4⁴+ 324) (16⁴+ 324) (28⁴+ 324) (40⁴+ 324)
=(7² + 9)(13² + 9) (19² + 9)(25² + 9) (31² + 9)(37² + 9) (43² + 9) (49² + 9)
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(1² + 9)(7² + 9) (13² + 9)(19² + 9) (25² + 9)(31² + 9) (37² + 9)(43² + 9)
= (49² + 9) / (1² + 9)

= 241