4-4x^2+4xy-y^2; -4xy+4y^2-2x+4y+1因式分解

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4-4x^2+4xy-y^2; -4xy+4y^2-2x+4y+1因式分解
4-4x^2+4xy-y^2; -4xy+4y^2-2x+4y+1因式分解

4-4x^2+4xy-y^2; -4xy+4y^2-2x+4y+1因式分解
4-4x^2+4xy-y^2
=4-(4x²-4xy+y²)
=2²-(4x-y)²
=(2-4x+y)(2+4x-y)
-4xy+4y^2-2x+4y+1
=4y²+4y+1-4xy-2x
=(2y+1)²-2x(2y+1)
=(2y+1)(2y-2x+1)

4-4x²+4xy-y²=4-﹙4x²-4xy+y²﹚=2²-﹙2x-y﹚²=﹙2+2x-y﹚﹙2-2x+y﹚
-4xy+4y²-2x+4y+1=4y²+4y+1-﹙4xy+2x﹚=﹙2y+1﹚²-2x﹙2y+1﹚=﹙2y+1﹚﹙2y+1-2x﹚