# How do you factor #3x^2( 4x-12)^2 + x^3(2)(4x-12)(4)#?

##### 1 Answer

This is more of a guide to approach than deriving the correct answer. You can check that!!!!!

#### Explanation:

The trick is to look for common elements that can be factored out and then playing around until you find the solution.

Looking at the question you will observe that

I am taking it one step at a time so that you can see the process and develop your own faster approaches.

Consider

this can be factored so that you have:

Consider

This can be factored so that you have:

Putting ( 1 ) and ( 2 ) together gives:

Factoring again

Notice that all the numbers in the bracket are even. This means that we can take it 'down' again by factor of 2

Again they are all even within the brackets so let us repeat the process:

But

Substituting this in gives:

I have not checked that the final answer is correct. I will leave that to you to do!!! However you can see the process types available to you!!!