document.write( "Question 43227This question is from textbook INTERMEDIATE ALGEBRA
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document.write( ": Divide and Simplify: \r\n" );
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document.write( " 5x - 7\r\n" );
document.write( " -----------\r\n" );
document.write( " 25x² - 49\r\n" );
document.write( "----------------\r\n" );
document.write( " 5x² + 27x + 28
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Algebra.Com's Answer #28242 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! Divide and Simplify: \r\n" ); document.write( "\r\n" ); document.write( " 5x - 7\r\n" ); document.write( " -----------\r\n" ); document.write( " 25x² - 49\r\n" ); document.write( "----------------\r\n" ); document.write( " 5x² + 27x + 28\r\n" ); document.write( "\r\n" ); document.write( "Write it as the upper fraction divided\r\n" ); document.write( "by the the trinomial at the bottom:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5x - 7 \r\n" ); document.write( " ----------- ÷ (5x² + 27x + 28)\r\n" ); document.write( " 25x² - 49 \r\n" ); document.write( "\r\n" ); document.write( "Now put that trinomial over 1:\r\n" ); document.write( "\r\n" ); document.write( " 5x - 7 5x² + 27x + 28\r\n" ); document.write( " ----------- ÷ ----------------\r\n" ); document.write( " 25x² - 49 1\r\n" ); document.write( "\r\n" ); document.write( "Now invert the second fraction and \r\n" ); document.write( "change the ÷ to ×\r\n" ); document.write( "\r\n" ); document.write( " 5x - 7 1\r\n" ); document.write( " ----------- × ----------------\r\n" ); document.write( " 25x² - 49 5x² + 27x + 28 \r\n" ); document.write( "\r\n" ); document.write( "Factor the two denominators\r\n" ); document.write( "\r\n" ); document.write( " 5x - 7 1\r\n" ); document.write( " ------------------ × -----------------\r\n" ); document.write( " (5x - 7)(5x + 7) (x + 4)(5x + 7)\r\n" ); document.write( "\r\n" ); document.write( "Write as one fraction by indicating the \r\n" ); document.write( "multiplicatiom of numerators and\r\n" ); document.write( "denominators:\r\n" ); document.write( "\r\n" ); document.write( " 5x - 7 \r\n" ); document.write( " ---------------------------------\r\n" ); document.write( " (5x - 7)(5x + 7)(x + 4)(5x + 7)\r\n" ); document.write( "\r\n" ); document.write( "Cancel the (5x - 7)'s\r\n" ); document.write( " \r\n" ); document.write( " 1\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |