document.write( "Question 768707: what is the process to factorise x^4 + 324 \n" ); document.write( "
Algebra.Com's Answer #468468 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
Factor\r
\n" ); document.write( "\n" ); document.write( "x4 + 324
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document.write( "(x2)2 + 182\r\n" );
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document.write( "That would be a perfect square if the term that is\r\n" );
document.write( "twice the product of the square roots of those two\r\n" );
document.write( "terms were added.  That's 2·18·x2 or 36x2.\r\n" );
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document.write( "So we add that between those terms and then subtract it.\r\n" );
document.write( "That's the same as adding 0:\r\n" );
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document.write( "(x2)2 + 36x2 + 182 - 36x2\r\n" );
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document.write( "Factor the first three terms as (x2 + 18)(x2 + 18) or (x2 + 18)2\r\n" );
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document.write( "(x2 + 18)2 - 36x2\r\n" );
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document.write( "That is the difference of two perfect squares:\r\n" );
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document.write( "[(x2 + 18) - 6x][(x2 + 18) + 6x]\r\n" );
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document.write( "[x2 + 18 - 6x][x2 + 18 + 6x]\r\n" );
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document.write( "(x2 - 6x + 18)(x2 + 6x + 18)\r\n" );
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document.write( "Edwin
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