x对4次方减去4x的平方加上4x减一等于多少?_数学解答

x对4次方减去4x的平方加上4x减一等于多少?

人气：423 ℃　时间：2019-08-18 05:03:21

解答

X^4-4X^2+4X-1
=(X^2+1)(X+1)(X-1)-4X(X-1)
=(X-1)(X^3+X^2+X+1-4X)
=(X-1)[(X^3+X^2-2X]-X+1)
=(X-1)[(X-1)(X^2+2X)-(X-1)]
=(X-1)^2*(X^2+2X-1)