Is the Derivative of (x^2-6x+9)(2x^2-x+1) Correct?

[UrbanXrisis]

I need to find the derivative of:

(x^2-6x+9)(2x^2-x+1)

what i did:
(2x-6)(2x^2-x+1)+(4x-1)(x^2-6x+9)
4x^3-2x^2+2x-12x^2+6x-6+4x^3-24x^2-36x-x^2+6x-9
8x^3-39x^2-28x-15

is this correct?

 

[HallsofIvy]

Take a closer look at that "4x" times "9" term again!

 

[UrbanXrisis]

(2x-6)(2x^2-x+1)+(4x-1)(x^2-6x+9)
4x^3-2x^2+2x-12x^2+6x-6+4x^3-24x^2+36x-x^2+6x-9
8x^3-39x^2-50x-15

thanks, is this right?

 

[UrbanXrisis]

I mean to write:
8x^3-39x^2+50x-15

 

[fourier jr]

that's what I got