分解因式:x(x-1)(x+1)(x+2)-24=______.
人气:489 ℃ 时间:2020-09-20 20:38:46
解答
原式=x(x+1)(x-1)(x+2)-24 =x(x2-1)(x+2)-24 =x(x3+2x2-x-2)-24 =x4+2x3-x2-2x-24 =(x4-2x3)+4x3-x2-2x-24 =x3(x-2)+4x3-8x2+7x2-2x-24 =(x3+4x2)(x-2)+(7x2-14x)+(12x-24)=(x3+4x2+7x+12...
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