分解因式x²-5y+xy-5x

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分解因式x²-5y+xy-5x

x²-5y+xy-5x
=x²+xy-5(x+y)
=x(x+y)-5(x+y)
=(x+y)(x-5)

x²-5y+xy-5x
=x²+xy-5x-5y
=x(x+y)-5(x+y)
=(x-5)(x+y)

=x(x-5)+y(x-5)=(x+y)(x-5)