`text{Bài } `2:`

`a)``x^4+x^2+1 `

`= x^4 + 2x^2 - x^2 + 1 `

`= x^4 + 2x^2 + 1 - x^2 `

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

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

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

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

`b)`` x^4+2010x^2+2009x+2010`

`= x^4 + 2009x^2+x^2+2009x+2009+1`

`= ( x^4 + x^2 + 1 ) ( 2009x^2+2009x + 2009 ) `

`= ( x^2+x+1)^2 2009 ( x^2+x+1)`

`= ( x^2-x+1)(x^2+x+1) 2009(x^2+x+1 )`

`=(x^2+x+1)(x^2-x+1+2009)`

`=(x^2+x+1)(x^2-x+2010)`

`text{Chúc bạn học tốt ! }`