document.write( "Question 153107: simplify:\r
\n" ); document.write( "\n" ); document.write( "(x-5)(x^2-3x-2) \n" ); document.write( "

Algebra.Com's Answer #112610 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"%28x-5%29%28x%5E2-3x-2%29\"$ Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%28x%5E2-3x-2%29-5%28x%5E2-3x-2%29\"$ Expand.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-3%2Ax%5E2-2%2Ax-5%2Ax%5E2%2B15%2Ax%2B10\"$ Multiply.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%5E3-8%2Ax%5E2%2B13%2Ax%2B10\"$ Now combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " So $\"%28x-5%29%28x%5E2-3x-2%29\"$ expands to $\"x%5E3-8%2Ax%5E2%2B13%2Ax%2B10\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, $\"%28x-5%29%28x%5E2-3x-2%29=x%5E3-8%2Ax%5E2%2B13%2Ax%2B10\"$ .
\n" ); document.write( " \n" ); document.write( "

\n" );