document.write( "Question 888254: How do you factor x^4 +x^2*y^2+y^4 into (x^2+xy+y^2)(x^2-xy+y^2)? Thank you.
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Algebra.Com's Answer #537260 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We recognize that if there were a 2 coefficient on the\r\n" );
document.write( "middle term, the expression with be a perfect square\r\n" );
document.write( "trinomial.  We can make it have a coefficient of 2 by\r\n" );
document.write( "adding .  But if we do that we'll have to also\r\n" );
document.write( "subtract  to offset.\r\n" );
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document.write( "But that's OK for then we'll have the difference of \r\n" );
document.write( "two squares, and we know how to factor that.\r\n" );
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document.write( "So we add  to the middle term to make it \r\n" );
document.write( " and then subtract :\r\n" );
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document.write( "factor the first term as a perfect square and write the\r\n" );
document.write( "second term as a square\r\n" );
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document.write( "which is the difference of two squares, and factors\r\n" );
document.write( "like  with  and :\r\n" );
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document.write( "Remove the inner parentheses:\r\n" );
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document.write( "Write in descending order of x and ascending order of y:\r\n" );
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document.write( "Edwin

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