SOLUTION: factor completely 36r^2-49

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Question 365782: factor completely
36r^2-49
Found 2 solutions by jim_thompson5910, robertb:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

36r%5E2-49 Start with the given expression.


%286r%29%5E2-49 Rewrite 36r%5E2 as %286r%29%5E2.


%286r%29%5E2-%287%29%5E2 Rewrite 49 as %287%29%5E2.


Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=6r and B=7.


So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:


A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.


%286r%29%5E2-%287%29%5E2=%286r%2B7%29%286r-7%29 Plug in A=6r and B=7.


So this shows us that 36r%5E2-49 factors to %286r%2B7%29%286r-7%29.


In other words 36r%5E2-49=%286r%2B7%29%286r-7%29.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
36r%5E2-49+=+%286r-7%29%286r%2B7%29. ( Its a difference of 2 squares!)