Question 785754
Find a common denominator to add like fractions on the top.  Remember that {{{2x*sqrt(x)/1}}}  Multiply both denominators by {{{2*sqrt(x)}}}, which is the Least Common Denominator.  Remember that {{{x^a * x^b = x^(a+b)}}} and for division, it's the same but subtract the exponents.<P>
{{{((2x*sqrt(x)*2sqrt(x) - x^2)/(2*sqrt(x)))/x}}}<P>
The denominator on top drops to the denominator.<P>
Remember to add the exponents when multiplying a base to different exponents.  The square root of something is something to the 1/2 power.<P>
{{{(4x^2 - x^2)/2x^(3/2)= (3x^2)/2x^(3/2)}}}.  Combine the x terms by subtracting the exponent in the denominator from the exponent in the numerator.  2-3/2 - 1/2<P>
{{{3x^(1/2)/2 = 3sqrt(x)/2}}}