document.write( "Question 172432: Write the expressioin in lowest terms\r
\n" ); document.write( "\n" ); document.write( "z³+64
\n" ); document.write( "over
\n" ); document.write( "z³-4z²+16z
\n" ); document.write( "

Algebra.Com's Answer #127324 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28z%5E3%2B64%29%2F%28z%5E3-4z%5E2%2B16z%29\" Start with the given expression\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28z%2B4%29%28z%5E2-4z%2B16%29%29%2F%28z%5E3-4z%5E2%2B16z%29\" Factor the numerator through the use of the sum of cubes formula\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28z%2B4%29%28z%5E2-4z%2B16%29%29%2F%28z%28z%5E2-4z%2B16%29%29\" Factor out the GCF \"z\" from the numerator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Highlight the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28z%2B4%29cross%28%28z%5E2-4z%2B16%29%29%29%2F%28z%2Across%28%28z%5E2-4z%2B16%29%29%29\" Cancel out the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%2B4%29%2Fz\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28z%5E3%2B64%29%2F%28z%5E3-4z%5E2%2B16z%29\" simplifies to \"%28z%2B4%29%2Fz\"
\n" ); document.write( "
\n" );