Question

求大神帮因式分解TUT跪谢不解释OTZ

Answer 1

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

=(x+y)²+2xy(x+y)+(xy)²-1

=(x+y+xy)²-1

=(x+y+xy-1)(x+y+xy+1)

=(x+y+xy-1)(x+1)(y+1)

(x²-2x)(x²-2x-2)-3

=(x²-2x)²-2(x²-2x)-3

=[(x²-2x)-3][(x²-2x)+1]

(x-3)(x+1)(x-1)²