SOLUTION: If you believe that a polynomial is not factorable, label it as prime. Factor completely: 4x^2–36y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If you believe that a polynomial is not factorable, label it as prime. Factor completely: 4x^2–36y^2       Log On


   



Question 110712: If you believe that a polynomial is not factorable, label it as prime.
Factor completely:
4x^2–36y^2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
This is a difference of two squares problem.
:
a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
:
In this case, a+=sqrt%284x%5E2%29=+2x and b=sqrt%2836y%5E2%29=+6y, so we can write:
:
%282x%2B6y%29%282x-6y%29