<PRE><B>Question 118982</B>
{{{(18x^2+21x)/(6x+7)}}} Start with the given expression


{{{3x(6x+7))/(6x+7)}}}   Factor {{{18x^2+21x}}} to get {{{3x(6x+7)}}} 



{{{3x(6x+7)/(6x+7)}}} Combine the fractions



{{{3x*cross((6x+7))/cross((6x+7))}}} Cancel like terms



{{{3x/1}}} Simplify




{{{3x}}} Remove the denominator of 1



--------------------------------------------------

Answer:


So {{{(18x^2+21x)/(6x+7)}}} simplifies to {{{3x}}}. In other words {{{(18x^2+21x)/(6x+7)=3x}}}

</PRE>