\(625 x^9 +75 x^3 + 9 Phân tích đa thức\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x^3+27x+\left(x+3\right)\left(x-9\right)\)
⇒\(x^3+27x+x^2-6x-27\)
⇒\(x^3+x^2+21x-27\)
Chịu
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có \(f\left(x\right)=\left(x+1\right)\left(x-3\right)\left(x+5\right)\left(x+9\right)+256\)
\(f\left(x\right)=\left(x+1\right)\left(x+5\right)\left(x-3\right)\left(x+9\right)+256\)
\(f\left(x\right)=\left(x^2+6x+5\right)\left(x^2+6x-27\right)+256\)
\(f\left(x\right)=\left[\left(x^2+6x-11\right)^2-256\right]+256\)
\(f\left(x\right)=\left(x^2+6x-11\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
3 . (x+3) - x2+9
= 3.(x+3)-(x2-9)
=3.(x+3)-[(x-3).(x+3)]
=(x+3).[3-(x-3)]
=(x+3).(3-x+3)
=(x+3).(9-x)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\left(x-3\right)\left(x+3\right)+\left(x-3\right)\left(2x-5\right)\\ =\left(x-3\right)\left(x+3+2x-5\right)\\ =\left(x-3\right)\left(3x-2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : x3 + 27 + (x + 3) (x - 9)
= (x + 3)(x2 - 3x + 9) + (x + 3) (x - 9)
= (x + 3) (x2 - 4x)
= (x + 3) x(x - 4)
Nước kia mình đi sai , cho mình đi lại nha :>
x3 + 27 + ( x + 3 )( x - 9 )
= x3 + 33 + ( x + 3 )( x - 9 )
= ( x + 3 )( x2 - 3x + 9 ) + ( x + 3 )( x - 9 )
= ( x + 3 )( x2 - 3x + 9 + x - 9 )
= ( x + 3 )( x2 - 2x )
= ( x + 3 )x( x - 2 )