<PRE><B>Question 1206004</B>
{{{(3x+2)/(4x-1)}}}

{{{5/(2x+3)}}}

1. Find the common denominator of the two fractions -leaving the common denominator in factored form

the common denominator is {{{(4x-1)(2x+3)}}}


2. Make equivalent fractions using the common denominator -leaving he denominator in factored form


{{{((3x+2)(2x+3))/((4x-1)(2x+3))}}}


{{{5(4x-1)/((2x+3)(4x-1))}}}


3. Subtract the rational expressions and simplify if possible -leaving the denominator in factored form


{{{((3x+2)(2x+3))/((4x-1)(2x+3))-5(4x-1)/((2x+3)(4x-1))}}}


{{{((3x+2)(2x+3)-5(4x-1))/((2x+3)(4x-1))}}}


{{{(6x^2 + 13x + 6-20x+5)/((2x+3)(4x-1))}}}


{{{(6x^2 - 7x + 11)/((2x+3)(4x-1))}}}


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