SOLUTION: factor each polynomial {{{9a^2-64b^2}}}

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Question 190351: factor each polynomial 9a%5E2-64b%5E2
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9a%5E2-64b%5E2 Start with the given expression.


%283a%29%5E2-64b%5E2 Rewrite 9a%5E2 as %283a%29%5E2.


%283a%29%5E2-%288b%29%5E2 Rewrite 64b%5E2 as %288b%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:


%283a%2B8b%29%283a-8b%29 Factor the expression using the difference of squares.


So 9a%5E2-64b%5E2 factors to %283a%2B8b%29%283a-8b%29.


In other words 9a%5E2-64b%5E2=%283a%2B8b%29%283a-8b%29.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




This is just the difference of two squares because and .

The difference of two squares factorization is:



So:



John