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因式分解x的4次方减46X^加25因式分解(XY+1)(X+1)(Y+1)+XY

题目详情
因式分解x的4次方减46X^加25
因式分解(XY+1)(X+1)(Y+1)+XY
▼优质解答
答案和解析
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...