document.write( "Question 243552: I need some help solving for p $\"%28x-1%29%28x%5E2-4%29%2B2%28x-1%29%28x%2B2%29=%28x-1%29%2Ap\"$ \n" ); document.write( "

Algebra.Com's Answer #178413 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28x-1%29%28x%5E2-4%29%2B2%28x-1%29%28x%2B2%29=%28x-1%29%2Ap\"$ Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%28%28x%5E2-4%29%2B2%28x%2B2%29%29=%28x-1%29%2Ap\"$ Factor out the GCF $\"x-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%28%28x%5E2-4%29%2B2%28x%2B2%29%29%2F%28x-1%29=p\"$ Divide both sides by $\"x-1\"$ to isolate 'p'.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cross%28%28x-1%29%29%28%28x%5E2-4%29%2B2%28x%2B2%29%29%2Fcross%28%28x-1%29%29=p\"$ Cancel out the common terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-4%29%2B2%28x%2B2%29=p\"$ Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"p=%28x%5E2-4%29%2B2%28x%2B2%29\"$ Rearrange the equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"p=x%5E2-4%2B2x%2B4\"$ Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"p=x%5E2%2B2x\"$ Combine like terms. \n" ); document.write( "

\n" );