因式分解式分解 (x+1)(x+2)(x-3)(x-4)-36

问题描述:

因式分解式分解 (x+1)(x+2)(x-3)(x-4)-36

=(x^2+x+2x+2)(x^2-3x-4x+12)-36=x^4-3x^3-4x^3+12x^2 +x^3-3x^2-4x^2+12x +2x^3-6x^2-8x^2+24x +2x^2-6x-8x+24 -36=x^4 -3x^3-4x^3+x^3+2x^3 +12x^2-3x^2-4x^2-6x^2-8x^2+2x^2 +12x+24x-6x-8x+24-36=x^4 -4x^3 -7x^...