4xy-(x2-4y2)怎么因式分解帮我分解

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4xy-(x2-4y2)怎么因式分解帮我分解

4xy-(x2-4y2)怎么因式分解帮我分解
4xy-(x2-4y2)怎么因式分解
帮我分解

4xy-(x2-4y2)怎么因式分解帮我分解
4xy-x^2+4y^2
=x^2+4xy+4y^2-2x^2
=(x+2y)^2-(√2x)^2
=(x+2y-√2x)(x+2y+√2x)
=[(1-√2)x+2y][(1+√2)x+2y]

4xy-(x2-4y2)
=-(x2-4xy-4y2)
=-(x2-4xy+4y2-8y2)
=-[(x-2y)2-8y2]
=-(x-2y-2y倍根号2)(x-2y+2y倍根号2)