数学高手进(两个因式分解)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 08:10:38
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数学高手进(两个因式分解)
数学高手进(两个因式分解)
数学高手进(两个因式分解)
(x+1)(2x+1)(3x-1)(4x-1)+6x^4
=(3x^2+2x-1)(8x^2+2x-1)+6x^4
=(3x^2+2x-1)(5x^2+3x^2+2x-1)+6x^4
=(3x^2+2x-1)^2+5x^2(3x^2+2x-1)+6x^4
=(3x^2+2x-1+2x^2)(3x^2+2x-1+2x^2)
=(5x^2+2x-1)(6x^2+2x-1)
(x+y)^4+(x^2-y^2)^2+(x-y)^4
=(x+y)^4+(x+y)^2(x-y)^2+(x-y)^4
=(x+y)^4+2(x+y)^2(x-y)^2+(x-y)^4-(x+y)^2(x-y)^2
=[(x+y)^2+(x-y)^2]^2-(x^2-y^2)^2
=(2x^2+2y^2)^2-(x^2-y^2)^2
=[(2x^2+2y^2)+(x^2-y^2)][(2x^2+2y^2)-(x^2-y^2)]
=(3x^2+y^2)(x^2+3y^2)
2((x+y)^2+(x-y)^)^2
没图也看不到问题。。。遗憾的飘过。。。