document.write( "Question 219532: Multiply
\n" ); document.write( "(x^4 – 4x^2 – 5)(x^2 – x + 2) \n" ); document.write( "

Algebra.Com's Answer #165066 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29\"$ Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%5E4%28x%5E2-x%2B2%29-4x%5E2%28x%5E2-x%2B2%29-5%28x%5E2-x%2B2%29\"$ 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( " $\"x%5E6-x%5E5%2B2x%5E4-4x%5E4%2B4x%5E3-8x%5E2-5x%5E2%2B5x-10\"$ Multiply.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10\"$ Now combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " So $\"%28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29\"$ expands to $\"x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, $\"%28x%5E4-4x%5E2-5%29%28x%5E2-x%2B2%29=x%5E6-x%5E5-2x%5E4%2B4x%5E3-13x%5E2%2B5x-10\"$ .
\n" ); document.write( " \n" ); document.write( "

\n" );