# Thread: Can someone help me with 3x^2-27(2-x)^2

1. ## Can someone help me with 3x^2-27(2-x)^2

I need to know how to factor:

3x^2-27(2-x)^2

But I have no idea what steps I must do to be able to get to the answer (according to the answers page of my textbook) of:

-12(2x-3)(x-3)

Help would be GREATLY appreciated! Thank you so much~

2. ## Re: Can someone help me with 3x^2-27(2-x)^2

First expand the expression and group the like terms. What do you get?

3. ## Re: Can someone help me with 3x^2-27(2-x)^2

Originally Posted by idkmath
I need to know how to factor:

3x^2-27(2-x)^2

But I have no idea what steps I must do to be able to get to the answer (according to the answers page of my textbook) of:

-12(2x-3)(x-3)

Help would be GREATLY appreciated! Thank you so much~

$\displaystyle 3x^2-27(2-x)^2=3(x^2-(3(2-x))^2)=$

$\displaystyle =3(x-3(2-x))(x+3(2-x))$

4. ## Re: Can someone help me with 3x^2-27(2-x)^2

$\displaystyle (2-x)^2 = 2\times 2+2\times -x-x\times 2 -x\times -x$

,

,

,

### 3x^2-27(2-x)^2

Click on a term to search for related topics.