document.write( "Question 169000: factor 4a^4b^8c^6-49d^8 \n" ); document.write( "

Algebra.Com's Answer #124629 by Earlsdon(6294) $\"\"$ $\"About$

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Factor:
\n" ); document.write( " $\"4a%5E4b%5E8c%5E6+-+49d%5E8\"$ This expression can be written as the difference of squares:
\n" ); document.write( " $\"%282a%5E2b%5E4c%5E3%29%5E2+-+%287d%5E4%29%5E2\"$
\n" ); document.write( "The difference of squares can be factored thus:
\n" ); document.write( " $\"A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29\"$ , so...
\n" ); document.write( " $\"4a%5E4b%5E8c%5E6-49d%5E8+=+%282a%5E2b%5E4c%5E3-7d%5E4%29%282a%5E2b%5E4c%5E3%2B7d%5E4%29\"$ \n" ); document.write( "

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