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)