x^4-4x+3因式分解
问题描述：
x^4-4x+3因式分解
答
(x-1)(x-1)(x^2+2x+3)
原式=x^4-x^2+x^2-4x+3=(x-1)(x^3+x^2+x-3)=
(x-1)(x-1)(x^2+2x+3)
答
原式=x⁴-1-4x+4=(x²+1)(x+1)(x-1)-4(x-1)=(x-1)(x³+x²+x+1-4)=(x-1)[(x³-1)+(x²-1)+(x-1)]=(x-1)²(x²+x+1+x+1+1)=(x-1)²(x²+2x+3)