来个高人解决这两道因式分解题啊~~~~~

来源：百度知道 编辑：UC知道 时间：2024/09/23 17:21:15
因式分解x的4次方减46X^加25

因式分解(XY+1)(X+1)(Y+1)+XY

1.x^4-46x^2+25
=x^4-10x^2+25-36x^2
=(x^2-5)^2-(6x)^2
=(x^2-6x-5)(x^2+6x-5);

2.(XY+1)(X+1)(Y+1)+XY
=(xy+1)(xy+1+x+y)+xy
=x^2y^2+xy+x^2y+xy^2+xy+1+x+y+xy
=x^2y^2+x^2y+xy^2+3xy+x+y+1
=(x^2y^2+2xy+1)+x^2y+xy^2+xy+x+y
=(xy+1)^2+xy(x+y)+(x+y)+xy
=(xy+1)^2+(x+y)(xy+1)+xy

(XY+1)(X+1)(Y+1)+XY
=（XY+1）（XY+Y+X+1）+XY
=X2Y2+XY+XY2+Y+X2Y+X+XY+1+XY
=X2Y2+3XY+XY2+X2Y+X+Y+1
第一个看不懂是什么“46X^”最后那个是什么？