几道初中因式分解(XY)^2+2XY+1-(X+Y)^2(2X-3Y)^3+(3X-2Y)^3-125(X-Y)^3(X^4-4X_数学解答

几道初中因式分解
(XY)^2+2XY+1-(X+Y)^2
(2X-3Y)^3+(3X-2Y)^3-125(X-Y)^3
(X^4-4X^2+1)(X^4+3X^2+1)+10X^4

人气：258 ℃　时间：2020-02-06 05:28:10

解答

(XY)^2+2XY+1-(X+Y)^2=(xy+1)^2-(x+y)^2=(xy+1-x-y)(xy+1+x+y)(X^4-4X^2+1)(X^4+3X^2+1)+10X^4 =(X^4+1)^2-x^2(x^4+1)-2x^4=(x^4+1-2x^2)(X^4+1+x^2)=(x^2-1)^2（x^2+1）^2=(x+1)^2(x-1)^2(x^2+1)^2 (2x-3y)^3+(3x-2...