Question

求大神解x四次方-2x四次方y+x四次方y平方-2x平方+y平方-2x平方y平方+2y+1因式分解

Answer 1

按题目结构,少一项：-4X^2Y,

原式=X^4(1-2Y+Y^2)-2X^2(1+2Y+Y^2)+(Y^2+2Y+1)

=(Y+1)^2(X^4-2X^2+1)

=(Y+1)^2(X^2-1)^2

=(Y+1)^2(X+1)^2(X-1)^2.