因式分解(x^2+3x+2)(x^2+7x+12)-120
问题描述:
因式分解(x^2+3x+2)(x^2+7x+12)-120
答
(x^2+3x+2)(x^2+7x+12)-120=(x+1)(x+2)(x+3)(x+4)-120=(x+1)(x+4)*(x+2)(x+3)-120=[x^2+5x+4]*[x^2+5x+6]-120=(x^2+5x)^2+10(x^2+5x)+24-120=(x^2+5x)^2+10(x^2+5x)-96=(x^2+5x+16)(x^2+5x-6)=(x^2+5x+16)(x+6)(x-...