document.write( "Question 691006: Factor the following
\n" ); document.write( "y^3+8
\n" ); document.write( "10x^3+80
\n" ); document.write( "25x^2+60x+36
\n" ); document.write( "81x^2_1 \n" ); document.write( "

Algebra.Com's Answer #426455 by fcabanski(1391) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E3+%2B+y%5E3+=+%28x%2By%29%28x%5E2+-xy+%2B+y%5E2%29\"$ and $\"x%5E3+-+y%5E3+=+%28x-y%29%28x%5E2+%2B+xy+%2B+y%5E2%29\"$ . These are the formulas for sum of cubes and difference of cubes. Jim Thompson's solution has a mistake.\r
\n" ); document.write( "\n" ); document.write( " $\"y%5E3+%2B+8+=+y%5E3+%2B+2%5E3+=+%28y%2B2%29%28y%5E2+-2y+%2B4%29\"$

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\n" ); document.write( "\n" ); document.write( " $\"10x%5E3%2B80+=+10%28x%5E3+%2B2%5E3%29+=+10%28x%2B2%29%28x%5E2+-+2x+%2B4%29\"$

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\n" ); document.write( "\n" ); document.write( " $\"%28a%2Bb%29%5E2+=+a%5E2+%2B2ab+%2B+b%5E2\"$ and $\"%28a-b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2\"$ and $\"a%5E2+-+b%5E2+=%28a%2Bb%29%28a-b%29\"$

\n" ); document.write( " $\"25x%5E2%2B60x%2B36\"$ if a=5x and b=6 this is $\"%285x%29%5E2+%2B2%285x%29%286%29+%2B+6%5E2=%285x%2B6%29%5E2+=+%285x%2B6%29%285x%2B6%29\"$

\n" ); document.write( " $\"81x%5E2+-+1\"$ if a=9x and b =1 this is $\"%289x%29%5E2+-%281%29%5E2+=+%289x%2B1%29%289x-1%29\"$
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)\r
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