Factor completely 4x4 - 24x3 + 36x2.

A) 4x2 (x - 3) 2

B) 4 (x - 3) 2

C) 4x2 (x + 3) (x - 3)

D) 4x (x2 - 6x + 9)

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4 (x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2 (x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3) ^2 or (x-3) ^2

Of course, only one would work, and as fate has it, (x-3) ^ produces x^2 - 6x + 9

This would turn the now factored equation into:

4x^2 (x-3) ^2 or 4x^2 (x-3) (x-3), this means the answer is A