document.write( "Question 101336: Fator the following biomial.\r
\n" ); document.write( "\n" ); document.write( "25x^2 - 81y^2.\r
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\n" ); document.write( "\n" ); document.write( "I'm not sure how to solve this. I'm just alittle confused on how to do it.\r
\n" ); document.write( "\n" ); document.write( "Thank you for the help.
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Algebra.Com's Answer #73798 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Factor:
\n" ); document.write( "\"25x%5E2-81y%5E2\" Do you see that this binomial is the difference of two squares?
\n" ); document.write( "\"%285x%29%5E2-%289y%29%5E2\"
\n" ); document.write( "The difference of two squares can be factored thus:
\n" ); document.write( "\"A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29\" Applying this to your problem, we get:
\n" ); document.write( "\"25x%5E2-81y%5E2+=+%285x%29%5E2-%289y%29%5E2\" = \"%285x%2B9y%29%285x-9y%29\"
\n" ); document.write( "You can confirm this by using the FOIL method to multiply the resultant factors:
\n" ); document.write( "\"%285x%2B9y%29%285x-9y%29+=+25x%5E2cross%28-45xy%29%2Bcross%2845xy%29-81y%5E2\" The two middle terms drop out to leave you with:
\n" ); document.write( "\"25x%5E2-81y%5E2\"
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