How do you factor #3x^2( 4x-12)^2 + x^3(2)(4x-12)(4)#?
This is more of a guide to approach than deriving the correct answer. You can check that!!!!!
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.
this can be factored so that you have:
This can be factored so that you have:
Putting ( 1 ) and ( 2 ) together gives:
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:
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!!!