Question

Factor Completely
12x^3-3x

Answer 1

3x(2x-1)(2x+1)

Answer 2

that was scary fast..thanks

Answer 3

hehe. Welcome. ;)

Answer 4

3x(2x-1)(2x+1)

Answer 5

3x(2x-1)(2x+1)

Answer 6

Everyone's copying my answer. lol

Answer 7

I know but I love factoring so I wanted to try it out. I honestly didnt even look at your answer I did it myself. :)

Answer 8

Lol, i was just kidding.
nice work though. ;)

Answer 9

thanks

Answer 10

12x³ - 3x
Looking at the terms, we see that they both have a 3 in common. Taking it out gives us:
3(4x³ - x)

Looking again, we can still take an x out!
3x(4x² - 1)

Since 4x² - 1 is in the form of (x² - y²), it can be factored easily (this is called a difference of squares). The rule is x² - y² = (x+y)(x-y). That means that:
4x² - 1 = (2x + 1)(2x - 1)

Replacing it back into the expression,
12x³ - 3x = 3x(2x + 1)(2x - 1)