document.write( "Question 154268: Please help\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " 1.) 4z
\n" ); document.write( " __________
\n" ); document.write( " 8z-12
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "2.) z^3+4z^2
\n" ); document.write( " ---------
\n" ); document.write( " z^2+8z+16
\n" ); document.write( "lowest term
\n" ); document.write( "Thank you for helping
\n" ); document.write( "

Algebra.Com's Answer #113572 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284z%29%2F%288z-12%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284z%29%2F%284%282z-3%29%29\" Factor \"8z-12\" to get \"4%282z-3%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28highlight%284%29z%29%2F%28highlight%284%29%282z-3%29%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28cross%284%29z%29%2F%28cross%284%29%282z-3%29%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%29%2F%282z-3%29\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%284z%29%2F%288z-12%29\" simplifies to \"%28z%29%2F%282z-3%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%284z%29%2F%288z-12%29=%28z%29%2F%282z-3%29\" where \"z%3C%3E3%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "# 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E3%2B4z%5E2%29%2F%28z%5E2%2B8z%2B16%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E2%2A%28z%2B4%29%29%2F%28z%5E2%2B8z%2B16%29\" Factor \"z%5E3%2B4z%5E2\" to get \"z%5E2%2A%28z%2B4%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E2%2A%28z%2B4%29%29%2F%28%28z%2B4%29%28z%2B4%29%29\" Factor \"z%5E2%2B8z%2B16\" to get \"%28z%2B4%29%28z%2B4%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E2highlight%28%28z%2B4%29%29%29%2F%28highlight%28%28z%2B4%29%29%28z%2B4%29%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E2cross%28%28z%2B4%29%29%29%2F%28cross%28%28z%2B4%29%29%28z%2B4%29%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%5E2%29%2F%28z%2B4%29\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28z%5E3%2B4z%5E2%29%2F%28z%5E2%2B8z%2B16%29\" simplifies to \"%28z%5E2%29%2F%28z%2B4%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%28z%5E3%2B4z%5E2%29%2F%28z%5E2%2B8z%2B16%29=%28z%5E2%29%2F%28z%2B4%29\" where \"z%3C%3E-4\"
\n" ); document.write( "
\n" );