因式分解x的平方-2xy-xz+yz+y的平方

问题描述:

因式分解x的平方-2xy-xz+yz+y的平方

-x(2y+z)+y(z+1)

x²-2xy-xz+yz+y²
=(x²-2xy+y²)-z(x-y)
=(x-y)²-z(x-y)
=(x-y)(x-y-z)

x²-2xy-xz+yz+y²
=(x-y)²-(x-y)z
=(x-y-z)(x-y)