-(x^4)+(x^2 y^2)-(y^4)

-(x^4)+(x^2 y^2)-(y^4)
-(x^4)+(x^2 y^2)-(y^4)

-(x^4)+(x^2 y^2)-(y^4)
原式=(x²y²)－(x²－y²)²
=(xy＋x²－y²)(xy－x²＋y²)

=-(x4+y4+2x²y²-3x²y²）
=-【（x²+y²)-(根号3 xy）²
平方差公式 你应该会的 根号3不好打 不好意思咯

设X^4=m^2 就是m=x^2
同理设一个n
这个式子就成了-m^2+mn-n^2
=-(m-n)^2-mn
=-(x^2-y^2)^2-x^2 y^2

-(x^4)+(x^2 y^2)-(y^4)
=-(x^4)-2(x^2)(y^2)-(y^4)+3(x^2)(y^2)
=-((x^4)+2(x^2)(y^2)+(y^4))+3(x^2)(y^2)
=3(x^2)(y^2)-(((x^2)+y(^2))^2)
=(√(3)xy+(x^2)+y(^2))(√(3)xy-(x^2)-y(^2))因式分解!!!!!!!...

全部展开

-(x^4)+(x^2 y^2)-(y^4)
=-(x^4)-2(x^2)(y^2)-(y^4)+3(x^2)(y^2)
=-((x^4)+2(x^2)(y^2)+(y^4))+3(x^2)(y^2)
=3(x^2)(y^2)-(((x^2)+y(^2))^2)
=(√(3)xy+(x^2)+y(^2))(√(3)xy-(x^2)-y(^2))

收起