document.write( "Question 1066053: Evaluate a^3 + 1/a^3 if a + 1/a = 6. \n" ); document.write( "
Algebra.Com's Answer #681249 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Evaluate a^3 + 1/a^3 if a + 1/a = 6.
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\"a%5E3+%2B+1%2Fa%5E3\"         			\"a+%2B+1%2Fa+=+6\"\r\n" );
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document.write( "\"%28a+%2B+1%2Fa%29%5E2+=+6%5E2\" ------ Squaring the equation: \"a+%2B+1%2Fa+=+6\"\r\n" );
document.write( "\"a%5E2+%2B+2+%2B+1%2Fa%5E2+=+36\"\r\n" );
document.write( "\"a%5E2+%2B+1%2Fa%5E2+=+34\"\r\n" );
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document.write( "\"a%5E3+%2B+1%2Fa%5E3\"\r\n" );
document.write( "\"%28a+%2B+1%2Fa%29%28a%5E2+-+1+%2B+1%2Fa%5E2%29\" ------ Factoring \"a%5E3+%2B+1%2Fa%5E3\"\r\n" );
document.write( "\"%28a+%2B+1%2Fa%29%28a%5E2+%2B+1%2Fa%5E2+-+1%29\"\r\n" );
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document.write( "6(34 - 1) ------- Substituting \"matrix%281%2C7%2C+6%2C+for%2C+a+%2B+1%2Fa%2C+and%2C+34%2C+for%2C+a%5E2+%2B+1%2Fa%5E2%29\"\r\n" );
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