Đáp án+Giải thích các bước giải:
`(x+2)(x+3)(x+4)(x+5)-24`
`=[(x+2)(x+5)][(x+3)(x+4)]-24`
`=(x^2+5x+2x+10)(x^2+4x+3x+12)-24`
`=(x^2+7x+10)(x^2+7x+12)-24`
`=(x^2+7x)^2+12(x^2+7x)+10(x^2+7x)+120-24`
`=(x^2+7x)^2+22(x^2+7x)+96`
`=(x^2+7x)^2+2.(x^2+7x).11+121-25`
`=(x^2+7x+11)^2-5^2`
`=(x^2+7x+11+5)(x^2+7x+11-5)`
`=(x^2+7x+16)(x^2+7x+6)`
`=(x^2+7x+16)(x^2+x+6x+6)`
`=(x^2+7x+16)[x(x+1)+6(x+1)]`
`=(x^2+7x+16)(x+1)(x+6)`
