4x^2+4x-4x^2y+y^2+1因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/26 14:13:10
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y^2+y^2+1
=4x^2+4x+1-4x^2y^2+y^2
=(2x+1)^2-y^2(4x^2-1)
=(2x+1)^2-y^2(2x+1)(2x-1)
=(2x+1-y^2)(2x-1)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/08/26 14:13:10
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y+y^2+1因式分解
4x^2+4x-4x^2y^2+y^2+1
=4x^2+4x+1-4x^2y^2+y^2
=(2x+1)^2-y^2(4x^2-1)
=(2x+1)^2-y^2(2x+1)(2x-1)
=(2x+1-y^2)(2x-1)