(数学)因式分解:(x^2+2)(x^2-2)-(x+2)(x-2)
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(数学)因式分解:(x^2+2)(x^2-2)-(x+2)(x-2)
(数学)因式分解:(x^2+2)(x^2-2)-(x+2)(x-2)
(数学)因式分解:(x^2+2)(x^2-2)-(x+2)(x-2)
(x^2+2)(x^2-2)-(x+2)(x-2)
=(x^4-4)-(x^2-4)
=x^4-x^2
=x^2(x^2-1)
=x^2(x+1)(x-1)
打开括号得
x^4-x^2-12
十字相承
(x^2-3)(x^2-4)
平方差公式
(x-根号下3)(x根号下+3)(x+2)(x-2)