Bài 2d,e ( -80 nha Phân tích thành nhân tử 🍃🍃🍃🍃💨💨💨💨💨💨💨💨💨

hailynguyen068

2 năm trước

Loga Sinh Học lớp 12

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Tranthikimhoan30112000

`d)`

`x^7+x^5+1`

`=(x^7+x^6+x^5)-(x^6-1)`

`=x^5(x^2+x+1)-(x^3-1)(x^3+1)`

`=x^5(x^2+x+1)-(x-1)(x^2+x+1)(x^3+1)`

`=(x^2+x+1)[x^5-(x-1)(x^3+1)]`

`=(x^2+x+1)(x^5-x^4-x+x^3+1)`

`e)`

`(x-1)(x-2)(x-3)(x-4)-80`

`=[(x-1)(x-4)][(x-2)(x-3)]-80`

`=(x^2-x-4x+4)(x^2-3x-2x+6)-80`

`=(x^2-5x+4)(x^2-5x+6)-80`

Đặt `t=x^2-5x+4`

`=t(t+2)-80`

`=t^2+2t-80`

`=t^2+10t-8t-80`

`=t(t+10)-8(t+10)`

`=(t-8)(t+10)`

`=(x^2-5x+4-8)(x^2-5x+4+10)`

`=(x^2-5x-4)(x^2-5x+14)`

Vote (0) Phản hồi (0) 2 năm trước

vuongdongvhks1

Giải thích các bước giải :

`d)x^7+x^5+1`
`=(x^7-x)+(x^5-x^2)+(x^2+x+1)`
`=x(x^6-1)+x^2(x^3-1)+(x^2+x+1)`
`=x[(x^3)^2-1^2]+x^2(x^3-1)+(x^2+x+1)`
`=x(x^3-1)(x^3+1)+x^2(x^3-1)+(x^2+x+1)`
`=x(x^3+1)(x-1)(x^2+x+1)+x^2(x-1)(x^2+x+1)+(x^2+x+1)`
`=(x^2+x+1)[x(x^3+1)(x-1)+x^2(x-1)+1]`
`=(x^2+x+1)[x^5-x^4+x^2-x+x^3-x^2+1]`
`=(x^2+x+1)[x^5-x^4+x^3-x+1]`
`e(x-1)(x-2)(x-3)(x-4)-80`
`=[(x-1)(x-4)][(x-3)(x-2)]-80`
`=(x^2-5x+4)(x^2-5x+6)-80`
Đặt `x^2-5x+4=a,` thay lại ta được :
`a(a+2)-80`
`=a^2+2a-80`
`=(a^2+10a)-(8a-80)`
`=a(a+10)-8(a+10)`
`=(a+10)(a-8)`
`=(x^2-5x+4+10)(x^2-5x+4-8)`
`=(x^2-5x+14)(x^2-5x-4)`

Vote (0) Phản hồi (0) 2 năm trước

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