document.write( "Question 678239: (81b^2)/(4b^2-24b+36)*(4b-12)/(9b) \n" ); document.write( "
Algebra.Com's Answer #421233 by pmatei(79)\"\" \"About 
You can put this solution on YOUR website!
\"%28%2881b%5E2%29%2F%284b%5E2-24b%2B36%29%29%2A%28%284b-12%29%2F%289b%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Simplify on the diagonal \"81b%5E2\" with \"9b\":\r
\n" ); document.write( "\n" ); document.write( "\"%28%289b%29%2F%284b%5E2-24b%2B36%29%29%2A%28%284b-12%29%2F%281%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Factor out a 4 both denominator of first fraction and numerator of second fraction:\r
\n" ); document.write( "\n" ); document.write( "\"%28%289b%29%2F%284%28b%5E2-6b%2B9%29%29%29%2A%28%284%28b-3%29%29%2F%281%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Simplify the 4's that you just factor out:\r
\n" ); document.write( "\n" ); document.write( "\"%289b%2F%28b%5E2-6b%2B9%29%29%2A%28%28b-3%29%2F1%29\"\r
\n" ); document.write( "\n" ); document.write( "Factor the quadratic \"b%5E2-6b%2B9+=+%28b-3%29%5E2\":\r
\n" ); document.write( "\n" ); document.write( "\"%289b%2F%28b-3%29%5E2%29%2A%28%28b-3%29%2F1%29\"\r
\n" ); document.write( "\n" ); document.write( "Simplify \"%28b-3%29%5E2\" with \"b-3\":\r
\n" ); document.write( "\n" ); document.write( "\"%289b%2F%28b-3%29%29%2A%281%2F1%29\"\r
\n" ); document.write( "\n" ); document.write( "Result:\r
\n" ); document.write( "\n" ); document.write( "\"9b%2F%28b-3%29\"
\n" ); document.write( "
\n" );