document.write( "Question 69123: I can not find the answer to X^4-R^4 if you could please help me. \n" ); document.write( "
Algebra.Com's Answer #49201 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
Completely factor \r\n" );
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document.write( "            \"X%5E4-R%5E4\"\r\n" );
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document.write( "That's the difference of two perfect squares.  \r\n" );
document.write( "The fourth power is \"the square of the square\". \r\n" );
document.write( "So write the expression this way\r\n" );
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document.write( "            \"%28X%5E2%29%5E2-%28R%5E2%29%5E2\"\r\n" );
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document.write( "Then that factors as\r\n" );
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document.write( "           \"%28X%5E2+-+R%5E2%29%28X%5E2+%2B+R%5E2%29\"\r\n" );
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document.write( "But that's not finished yet, because what's in the first \r\n" );
document.write( "parentheses will factor some more.  It is the difference\r\n" );
document.write( "of two perfect squares too.\r\n" );
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document.write( "      \"%28X-R%29%28X%2BR%29%28X%5E2%2BR%5E2%29\"\r\n" );
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document.write( "That's the final answer!\r\n" );
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document.write( "Warning: Do not try to factor further!\r\n" );
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document.write( "The DIFFERENCE of two squares \"X%5E2-R%5E2\" factors but\r\n" );
document.write( "the SUM of two squares, such as \"X%5E2%2BR%5E2\" does not \r\n" );
document.write( "factor.\r\n" );
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document.write( "Edwin
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