(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方
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(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方
(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方
(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方
(y+1)平方-2x平方(1+y平方)+x四次方(1-y)平方
=(y+1)²+2*x²*(y²-1)+[x²(y-1)]²-2x²(y²+1+y²-1)
=[(y+1)+x(y-1)]²-(2xy)²
=(xy-x+y+1+2xy)(xy-x+y+1-2xy)
=(3xy-x+y+1)(-xy-x+y+1)
=(3xy-x+y+1)[-x(y+1)+(y+1)]
=(3xy-x+y+1)(y+1)(1-x)
原式=(1+y^2)+2x^2(1-y^2)+x^4(1-y^2)-2x^2(1-y^2)-2x^2(1+y^2)
=[1+y+x^2(1-y)]^2-2x^2(1-y^2+1+y^2)
=(x^2-x^2y+y+1)^2-4x^2
=(x^2-x^2y+y+1+2x)(x^2-x^2y+y+1-2x)
=[(x^2+2x+1)-y(x^2-1)][(...
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原式=(1+y^2)+2x^2(1-y^2)+x^4(1-y^2)-2x^2(1-y^2)-2x^2(1+y^2)
=[1+y+x^2(1-y)]^2-2x^2(1-y^2+1+y^2)
=(x^2-x^2y+y+1)^2-4x^2
=(x^2-x^2y+y+1+2x)(x^2-x^2y+y+1-2x)
=[(x^2+2x+1)-y(x^2-1)][(x^2-2x+1)-y(x^2-1)]
=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]
=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)
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