document.write( "Question 527942: Factor 25b^2 - 1 \n" ); document.write( "
Algebra.Com's Answer #349085 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"25b%5E2-1\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%285b%29%5E2-1\" Rewrite \"25b%5E2\" as \"%285b%29%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%285b%29%5E2-%281%29%5E2\" Rewrite \"1\" as \"%281%29%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "Notice how we have a difference of squares \"A%5E2-B%5E2\" where in this case \"A=5b\" and \"B=1\".\r
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\n" ); document.write( "\n" ); document.write( "So let's use the difference of squares formula \"A%5E2-B%5E2=%28A%2BB%29%28A-B%29\" to factor the expression:\r
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\n" ); document.write( "\n" ); document.write( "\"A%5E2-B%5E2=%28A%2BB%29%28A-B%29\" Start with the difference of squares formula.\r
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\n" ); document.write( "\n" ); document.write( "\"%285b%29%5E2-%281%29%5E2=%285b%2B1%29%285b-1%29\" Plug in \"A=5b\" and \"B=1\".\r
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\n" ); document.write( "\n" ); document.write( "So this shows us that \"25b%5E2-1\" factors to \"%285b%2B1%29%285b-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words \"25b%5E2-1=%285b%2B1%29%285b-1%29\".\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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