把下列各式分解因式:-27x^4+18x^3-3x^2 x^4-1
问题描述:
把下列各式分解因式:-27x^4+18x^3-3x^2 x^4-1
答
-27x^4+18x^3-3x^2
=-3x^2(9x^2-6x+1)
=-3x^2(3x-1)^2
x^4-1
=(x^2+1)(x^2-1)
=(x^2+1)(x+1)(x-1)