4x^2+4x-4x^2y+y^2+1因式分解

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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+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)