1.因式分解x^2 y - y^2 z + z^2 x-x^2 z +y^2 x + z^2 y -2xyz2.x^2 - (m^2 + n^2 ) x +mn (m^2 -n^2 )3.(c-2 )^2 - 4 (b-c)(a-b)
问题描述：
1.因式分解x^2 y - y^2 z + z^2 x-x^2 z +y^2 x + z^2 y -2xyz
2.x^2 - (m^2 + n^2 ) x +mn (m^2 -n^2 )
3.(c-2 )^2 - 4 (b-c)(a-b)
答
1.x^2 y - y^2 z + z^2 x-x^2 z +y^2 x + z^2 y -2xyz =z^2(x+y)+xy*(x+y)-z(x^2+2xy+y^2)
=(x+y)*(z^2+xy-zx-zy)=(x+y)(Z-x)(z-y)
2.原式=（x-m(m-n))(x-n(m+n))=(x-m*m+mn)(x-n*n-mn)
3.原式=
答
1.x^2 y - y^2 z + z^2 x-x^2 z +y^2 x + z^2 y -2xyz =z^2(x+y)+xy*(x+y)-z(x^2+2xy+y^2)
=(x+y)*(z^2+xy-zx-zy)=(x+y)(Z-x)(z-y)
找到感觉,自己来吧!
答
1.因式分解x^2 y - y^2 z + z^2 x-x^2 z +y^2 x + z^2 y -2xyz =z^2(x+y)+xy*(x+y)-z(x^2+2xy+y^2) =z^2(x+y)+xy(x+y)-z(x+y)^2=(x+y)*(z^2+xy-zx-zy)=(x+y)[z(z-x)-y(z-x)]=(x+y)(Z-x)(z-y) 2.x^2 - (m^2 + n^2 ) x...