Question

(x-1)(x+2)(x-3)(x+4)+24用因式分解法计算等于多少

Answer 1

(x-1)(x+2)(x-3)(x+4)+24

=(x²+x-2)(x²+x-12)+24

=(x²+x)²-14(x²+x)+24+24

=(x²+x)²-14(x²+x)+48

=(x²+x-6)(x²+x-8)

=(x+3)(x-2)(x²+x-8)