document.write( "Question 782806: if a^2 + 1 = a, then the value of a^12 + a^6 + 1 is \n" ); document.write( "

Algebra.Com's Answer #476535 by psbhowmick(878) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"a%5E12+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%28a%5E2%29%5E6+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%28a-1%29%5E6+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%28%28a-1%29%5E2%29%5E3+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%28a%5E2%2B2a%2B1%29%5E3+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%28a%2B2a%29%5E3+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"%283a%29%5E3+%2B+a%5E6+%2B+1\"$
\n" ); document.write( "= $\"27a%5E3+%2B+%28a%5E2%29%5E3+%2B+1\"$
\n" ); document.write( "= $\"27a%5E3+%2B+%28a-1%29%5E3+%2B+1\"$
\n" ); document.write( "= $\"27a%5E3+%2B+a%5E3-3a%5E2%2B3a-1+%2B+1\"$
\n" ); document.write( "= $\"28a%5E3+-3a%5E2%2B3a\"$
\n" ); document.write( "= $\"28a%5E3+%2B3%28-a%5E2%2Ba%29\"$
\n" ); document.write( "= $\"28a%5E3+%2B3%281%29\"$
\n" ); document.write( "= $\"28a%5E3+%2B3\"$ \n" ); document.write( "

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