help with factoring completely 27x^2-75

Question

please show how thanks

Answer 1

27X² -75

 

=3(9X² -25)

 

=3{ (3X)² - (5)² }...........now using formula for factor, a² -b² = (a+b)(a-b)

 

= 3 (3X+5)(3X-5)

Answer 2

You can pull a 3 out

 

3(9x^2 -25)

 

= 3 (3x-5)(3x+5)

Answer 3

First: Pull out like terms

 

27x^2 - 75  = 3 x (9x^2 - 25)

 

Factor as a difference of two squares 9x^2 - 25   

 

9x^2 - 25 = (3x+5) x (3x - 5)

 

Don't forget to bring down the 3

 

3 (3x+5) (3x-5)

 

Hope this helps.  I am also available for tutoring