SOLUTION: Please factor: {{{ 49x^2 - 64 }}}

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Question 152266: Please factor: +49x%5E2+-+64+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

49x%5E2-64 Start with the given expression.


%287x%29%5E2-64 Rewrite 49x%5E2 as %287x%29%5E2.


%287x%29%5E2-%288%29%5E2 Rewrite 64 as %288%29%5E2.


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


%287x%2B8%29%287x-8%29 Factor the expression using the difference of squares.


So 49x%5E2-64 factors to %287x%2B8%29%287x-8%29.


In other words 49x%5E2-64=%287x%2B8%29%287x-8%29.