document.write( "Question 491042: $\"+%2812x%5E2%2B5x-2%29%2F%284x-1%29+\"$
\n" ); document.write( "I used the solver to simplify this equation but I don't understand the first step. It says $\"%2812x%5E2%2B5x-2%29%2F%284x-1%29\"$ turns into $\"%2812x%2B8%29%2F4\"$ , but I don't understand how. Please explain this to me. \n" ); document.write( "

Algebra.Com's Answer #334438 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
(12x^2+5x-2)/(4x-1)
\n" ); document.write( "---
\n" ); document.write( "Factor the numerator:
\n" ); document.write( "[12x^2+8x - 3x -2]/[(4x-1)]
\n" ); document.write( "--------------------------------
\n" ); document.write( "[4x(3x+2)-(3x+2)] / [4x-1]
\n" ); document.write( "---
\n" ); document.write( "[(3x+2)(4x-1)] / [4x-1]
\n" ); document.write( "---
\n" ); document.write( "= 3x+2
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );