SOLUTION: Factor(25x^2-4/49) Would you please show the steps that derive the solution below? Microsoft Mathmatics solution is 1/49(35x-2)(35x+2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor(25x^2-4/49) Would you please show the steps that derive the solution below? Microsoft Mathmatics solution is 1/49(35x-2)(35x+2)      Log On


   

Question 633023: Factor(25x^2-4/49)
Would you please show the steps that derive the solution below?
Microsoft Mathmatics solution is 1/49(35x-2)(35x+2)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%2825x%5E2-4%2F49%29

%28%285x%29%5E2-%282%2F7%29%5E2%29
applyig the identity a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
%285x-%282%2F7%29%29%285x%2B%282%2F7%29%29
LCD = 7
%28%2835x-2%29%2F7%29%28%2835x%2B2%29%2F7%29

%28%2835x-2%29%2835x%2B2%29%29%2F49

%281%2F49%29%2835x%2B2%29%2835x-2%29

m.ananth@hotmail.ca