factorize completely

Question

18x3-8x

Answer 1

    18x³-8x

 

   2*3*3*x*x*x - 2*2*2*x                     [put in terms of prime factors]

   2x(3*3*x*x - 2*2)                         [factor out the GCF]

   2x(3x - 2)(3x + 2)              [note that this is the difference of squares]

Answer 2

The GCF of 18 and 8 is 2.

The GCF of x³ and x is x.

 

18x³ - 8x = (2·9·x·x·x - 2·4·x) = 2x(9x² - 4)

Now 9x²-4 is a difference of squares = (3x+2)(3x-2), so the final answer is:

 

 

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

Answer 3

Phillip is right on his factorin