document.write( "Question 537737: What is the factor of 16x^2- 25y^2= \n" ); document.write( "
Algebra.Com's Answer #353183 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"16x%5E2-25y%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%29%5E2-25y%5E2\" Rewrite \"16x%5E2\" as \"%284x%29%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%29%5E2-%285y%29%5E2\" Rewrite \"25y%5E2\" as \"%285y%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=4x\" and \"B=5y\".\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( "\"%284x%29%5E2-%285y%29%5E2=%284x%2B5y%29%284x-5y%29\" Plug in \"A=4x\" and \"B=5y\".\r
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\n" ); document.write( "\n" ); document.write( "So this shows us that \"16x%5E2-25y%5E2\" factors to \"%284x%2B5y%29%284x-5y%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words \"16x%5E2-25y%5E2=%284x%2B5y%29%284x-5y%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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