因式分解(x²+x)²-8x²-8x+12和 x³-2x+1求数学高手解答,

问题描述:

因式分解(x²+x)²-8x²-8x+12和 x³-2x+1求数学高手解答,
如题.30分别嫌少了可以吗.

(x²+x)²-8x²-8x+12=(x^2+x)^2-8(x^2+x)+12
=(x^2+x-2)(x^2+x-6)
=(x+2)(x-1)(x+3)(x-2)
x³-2x+1=x^3-x^2+x^2-x-x+1
=(x-1)(x^2+x-1)