Mathematics
Senior High

これってどうやって展開していけばいいですか?

(a² + 2ab + b ² = (²) (a²_-2ab + b² - (²)

Answers

 (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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