2道因式分解,
问题描述:
2道因式分解,
(x+1)(x+2)(x+3)(x+4)-24
(x+y-z)(x-y+z)-4yz
答
(x+1)(x+2)(x+3)(x+4)-24 =(x+1)(x+4)(x+2)(x+3)-24=(x^2+5x+4)(x^2+5x+6)-24=(x^2+5x+5-1)(x^2+5x+5+1)-24=(x^2+5x+5)^2-1-24=(x^2+5x+5+5)(x^2+5x+5-5)=x(x+5)(x^2+5x+10)(x+y-z)(x-y+z)-4yz=[x+(y-z)][x-...