document.write( "Question 591703: 36x^2-25 \n" ); document.write( "
Algebra.Com's Answer #375715 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"36x%5E2-25\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%286x%29%5E2-25\" Rewrite \"36x%5E2\" as \"%286x%29%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"%286x%29%5E2-%285%29%5E2\" Rewrite \"25\" as \"%285%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=6x\" and \"B=5\".\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( "\"%286x%29%5E2-%285%29%5E2=%286x%2B5%29%286x-5%29\" Plug in \"A=6x\" and \"B=5\".\r
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\n" ); document.write( "\n" ); document.write( "So this shows us that \"36x%5E2-25\" factors to \"%286x%2B5%29%286x-5%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words \"36x%5E2-25=%286x%2B5%29%286x-5%29\".
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