Phân tích đa thức thành nhân tử, giải chậm từng bước một cho mik hiểu nha `-x^2(y-z)-y^2(z-x)-z^2(x-y)` 21/11/2021 Bởi Quinn Phân tích đa thức thành nhân tử, giải chậm từng bước một cho mik hiểu nha `-x^2(y-z)-y^2(z-x)-z^2(x-y)`
`-x^2(y-z)-y^2(z-x)-z^2(x-y)` $\\$`=-x^2(y-z)+y^2[(y-z)+(x-y)]-z^2(x-y)` $\\$`=-x^2(y-z)+y^2(y-z)+y^2(x-y)-z^2(x-y)` $\\$`=(y-z)(y^2-x^2)+(x-y)(y^2-z^2)` $\\$`=(y-z)(y-x)(x+y)+(x-y)(y-z)(y+z)` $\\$`=(x-y)(y-z)(y+z-x-y)` $\\$`=(x-y)(y-z)(z-x)` Xin hay nhất ! Bình luận
`-x^2(y-z)-y^2(z-x)-z^2(x-y)` `=-x^2(y-z)-y^2[(z-y)+(y-x)]-z^2(x-y)` `=-x^2(y-z)+y^2[(y-z)+(x-y)]-z^2(x-y)` `=-x^2(y-z)+y^2(y-z)+y^2(x-y)-z^2(x-y)` `=(y-z)(y^2-x^2)+(x-y)(y^2-z^2)` `=(y-z)(y-x)(x+y)+(x-y)(y-z)(y+z)` `=-(y-z)(x-y)(x+y)+(x-y)(y-z)(y+z)` `=(x-y)(y-z)(y+z-x-y)` `=(x-y)(y-z)(z-x)` Bình luận
`-x^2(y-z)-y^2(z-x)-z^2(x-y)` $\\$`=-x^2(y-z)+y^2[(y-z)+(x-y)]-z^2(x-y)` $\\$`=-x^2(y-z)+y^2(y-z)+y^2(x-y)-z^2(x-y)` $\\$`=(y-z)(y^2-x^2)+(x-y)(y^2-z^2)` $\\$`=(y-z)(y-x)(x+y)+(x-y)(y-z)(y+z)` $\\$`=(x-y)(y-z)(y+z-x-y)` $\\$`=(x-y)(y-z)(z-x)`
Xin hay nhất !
`-x^2(y-z)-y^2(z-x)-z^2(x-y)`
`=-x^2(y-z)-y^2[(z-y)+(y-x)]-z^2(x-y)`
`=-x^2(y-z)+y^2[(y-z)+(x-y)]-z^2(x-y)`
`=-x^2(y-z)+y^2(y-z)+y^2(x-y)-z^2(x-y)`
`=(y-z)(y^2-x^2)+(x-y)(y^2-z^2)`
`=(y-z)(y-x)(x+y)+(x-y)(y-z)(y+z)`
`=-(y-z)(x-y)(x+y)+(x-y)(y-z)(y+z)`
`=(x-y)(y-z)(y+z-x-y)`
`=(x-y)(y-z)(z-x)`