2题因式分解
1个回答
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2x^2y^2-2y^2+(xy-1)(x-1)^2
=2y^2(x^2-1)+(xy-1)(x-1)^2
=2y^2(x-1)(x+1)+(xy-1)(x-1)^2
=(x-1)(2xy^2+2y^2-x^2y-x-xy+1)
(x^2+4x+3)(x^2+4x-4)-8
=(x^2+4x)^2-4*(x^2+4x)+3(x^2+4x)-12-8
=(x^2+4x)^2-(x^2+4x)-20
=(x^2+4x-5)(x^2+4x+4)
=(x-1)(x+5)(x+2)^2
=2y^2(x^2-1)+(xy-1)(x-1)^2
=2y^2(x-1)(x+1)+(xy-1)(x-1)^2
=(x-1)(2xy^2+2y^2-x^2y-x-xy+1)
(x^2+4x+3)(x^2+4x-4)-8
=(x^2+4x)^2-4*(x^2+4x)+3(x^2+4x)-12-8
=(x^2+4x)^2-(x^2+4x)-20
=(x^2+4x-5)(x^2+4x+4)
=(x-1)(x+5)(x+2)^2
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谢谢
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