document.write( "Question 1139340: Factor
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Algebra.Com's Answer #759809 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "a)  a^4 +a^2b^2 +b^4 = \r\n" );
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document.write( "           add and subtract  a^2*b^2\r\n" );
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document.write( "    = (a^4 + 2a^2*b^2 + b^4) - a^2*b^2  =  -  = \r\n" );
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document.write( "          apply the formula   -  = (x+y)*(x-y)\r\n" );
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document.write( "    = .     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done; i.e. factored.\r
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document.write( "b)  a^4 + 4b^4 = a^4 + (2b^2)^2 = \r\n" );
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document.write( "           add and subtract  2*a^2*(2b^2)\r\n" );
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document.write( "    = (a^4 + 2*a^2*(2b^2) + 4b^4) - 2*a^2*(2b^2) = \r\n" );
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document.write( "    = (a^2 + 2b^2)^2 - 4*a^2*b^2 = \r\n" );
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document.write( "    = (a^2 + 2b^2)^2 - (2ab)^2 = \r\n" );
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document.write( "          apply the formula   -  = (x+y)*(x-y)\r\n" );
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document.write( "   = (a^2 - 2ab + 2b^2)*(a^2 + 2ab + 2b^2).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done; i.e. factored.\r
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Advanced factoring\r
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