2个因式分解题:2xy-x^2-y^2 和 x^2m+1-4x^m+1+4x

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2个因式分解题:2xy-x^2-y^2 和 x^2m+1-4x^m+1+4x
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2个因式分解题:2xy-x^2-y^2 和 x^2m+1-4x^m+1+4x
2个因式分解题:2xy-x^2-y^2 和 x^2m+1-4x^m+1+4x

2个因式分解题:2xy-x^2-y^2 和 x^2m+1-4x^m+1+4x
2xy-x^2-y^2
=-[x^2-2xy+y^2]
=-[x-y]^2
x^2m+1-4x^m+1+4x
=x^2m*x-4x^m*x+4x
=x[x^2m-4x^m+4]
=x[x^m-2]^2

(1)原式=-(X-Y)^2

x^2m+1-4x^m+1+4x
=x(x^m-2)^2