SOLUTION: Factor completely: Please show all of the steps so I can learn this. thanks in advance :) 4x^2-49

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely: Please show all of the steps so I can learn this. thanks in advance :) 4x^2-49      Log On


   

Question 325567: Factor completely: Please show all of the steps so I can learn this. thanks in advance :)
4x^2-49
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
This is a difference of two squares which factors like this,
Z%5E2-A%5E2=%28Z%2BA%29%28Z-A%29
In this case,
Z%5E2=4x%5E2
Z=2x
.
.
.
A%5E2=49
A=7
So then,
4x%5E2-49=%282x-7%29%282x%2B7%29