Câu trả lời:
(x+1)(x+2)(x+3)(x+4)-24
= \(\left(x^2+3x+2\right)\left(x+3\right)\left(x+4\right)-24\)
= \(\left(x^3+6x^2+11x+6\right)\left(x+4\right)-24\)
= \(x^4+10x^3+35x^2+50x\)
= \(x^4+5x^3+10x^2+5x^3+25x^2+50x\)
= \(x^2\left(x^2+5x+10\right)+5x\left(x^2+5x+10\right)\)
= \(x\left(x+5\right)\left(x^2+5x+10\right)\)