(a²+2ab+b²-c²)(a²-2ab+b²-c²)
={(a+b)²-c²}{(a-b)²-c²}
=(a+b)²(a-b)²-(a+b)²c²-(a-b)²c²+c⁴
={(a+b)(a-b)}²-{(a+b)²-(a-b)²}c²+c⁴
={a²-b²}²-{4ab}c²+c⁴
=a⁴-2a²b²+b⁴-4abc²+c⁴
=a⁴+b⁴+c⁴-2a²b²-4abc²
(a²+2ab+b²-c²)(a²-2ab+b²-c²)
={(a+b)²-c²}{(a-b)²-c²}
=(a+b)²(a-b)²-(a+b)²c²-(a-b)²c²+c⁴
={(a+b)(a-b)}²-{(a+b)²-(a-b)²}c²+c⁴
={a²-b²}²-{4ab}c²+c⁴
=a⁴-2a²b²+b⁴-4abc²+c⁴
=a⁴+b⁴+c⁴-2a²b²-4abc²
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