化简:(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
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化简:(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
化简:(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
化简:(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
(x^2+y^2-z^2+2xy)/(x^2-y^2-z^2-2zy)
=(x^2+y^2+2xy-z^2)/(x^2-(y^2+z^2+2zy))
=[(x+y)^2-z^2]/[x^2-(y+z)^2]
=[(x+y-z)(x+y+z)]/[(x-y-z)(z+y+z)]
=(x+y-z)/(x-y-z)
原式=[(x+y)^2-z^2]/[x^2-(y+z)^2]
=(x+y-z)*(x+y+z)/(x-y-z)*(x+y+z)(这一步用到a^2-b^2=(a+b)*(a-b)的平方差公式)
因为x+y+z不等于0
所以原式=(x+y-z)/(x-y-z)
化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+(z-y)(x-y)/(xy-2z)(y+z-2x)+(x-z)(y-z)/(y+z-2x)(x-2y+z)速速回答
化简x^2-yz/[x^2-(y+z)x+yz]+y^2-zx/[y^2-(z+x)y+zx]+z^2-xy/[z^2-(x+y)z+xy]
化简(2x-y-z/x^2-xy-xz+yz)+(2y-x-z/y^2-xy-yz+xz)+(2x-x-y/z^2-xz-yz+xy)
代数 x^-y^/ x^-(y-z)^ 除以 x^+2xy+y^/(x-y)^-z^ 乘 x^+xy-xz/x^-xy
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