document.write( "Question 725420: How is this question done?
\n" ); document.write( " x8 -1296y4
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Algebra.Com's Answer #444154 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
To start, \"x%5E8-1296y%5E4\" can be factored as a difference of squares.
\n" ); document.write( "\"x%5E8=%28x%5E4%29%5E2\" and \"1296y%5E4=%2836y%5E2%29%5E2\"
\n" ); document.write( "You must have been told that
\n" ); document.write( "\"a%5E2-b%5E2=%28a-b%29%28a%2Bb%29\" where a and b can be any expression, so
\n" ); document.write( "\"x%5E8-1296y%5E4=%28x%5E4%2B36y%5E2%29%28x%5E4-36y%5E2%29\"
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\n" ); document.write( "\"x%5E4%2B36y%5E2\" cannot be factored using just real numbers,
\n" ); document.write( "but \"x%5E4-36y%5E2\" is a difference of squares, so
\n" ); document.write( "\"x%5E4-36y%5E2=%28x%5E2%2B6y%29%28x%5E2-6y%29\"
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\n" ); document.write( "For an answer, you should just write:
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