SOLUTION: Factor completely. Show all work necessary. 4x^2-9

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Factor completely. Show all work necessary. 4x^2-9      Log On


   

Question 282082: Factor completely. Show all work necessary.
4x^2-9
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This we know as a difference in squares
4x^2 is one square and 9 is the other
3^2=9
(2x)^2=4x^2
The middle terms cancel each other out with plus and minus.
a^2-b^2=(a-b)*(a+b)
(2x-3)*(2x+3)