Question

1.分解因式：(x+1)(x+2)(x+3)(x+4)-24

Answer 1

你好,很高兴回答你的问题

[(x+1)(x+4)]*[(x+2)(x+3)]-24

=(x^2+5x+5-1)*(x^2+5x+5+1)-24

=(x^2+5x+5)^2-1-24

=(x^2+5x+5)^2-25

=(x^2+5x+5+5)(x^2+5x+5-5)

=(x^2+5x)(x^2+5x+10)

=x(x+5)(x^2+5x+10)