因式分解(x的平方+1)的平方-4x的平方

问题描述:

因式分解(x的平方+1)的平方-4x的平方

(x^2+1)^2-4x^2
=x^4-4x^2+1
=(x^2-1)^2
=(x-1)(x-1)(x+1)(x+1)

=(x²+1)²-(2x)²
=(x²-2x+1)×(x²+2x+1)
=(x-1)²(x+1)²

(x2+1-2x)*(x2+1+2x)=(x-1)*(x-1)*(x+1)*(x+1)

(x的平方+1)的平方-4x的平方
=(x^2-2x+1)(x^2+2x+1)
=(x-1)^2(x+1)^2
肯定对 望采纳

(x²+1)²-4x²
=(x²+1)²-(2x)²
=(x²-2x+1)×(x²+2x+1)
=(x-1)²(x+1)²

=(x-1)²(x+1)²