a^12x^4-x^4x^12
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=
= x⁴[(a^6)²-(x^6)²]
=x⁴(a^6+x^6)(a^6-x^6)
=x⁴[(a²)³+(b²)³][(a³)²-(b³)²]
= x⁴(a²+b²)(a⁴-a²b²+b⁴)[(a³+b³)(a³-b³)]
=x⁴(a²+b²)(a⁴-a²b²+b⁴)(a+b)(a²-ab+b²)(a-b)(a²+ab+b²)
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