<PRE><B>Question 328887</B>
Build each rational expression into an equivalent rational expression with the indicated denominator.
{{{(-7x)/((2x - 3))}}} = ?/4x^2 - 12x + 9
:
Factor 4x^2 - 12x + 9 and we have
(2x-3)(2x-3)
:
If we multiply the 1st denominator by (2x-3), we have the 2nd denominator
:
Multiply the 1st fraction by {{{((2x-3))/((2x-3))}}} (the same as mult by 1)
:
{{{((2x-3))/((2x-3))}}} * {{{(-7x)/((2x - 3))}}} = {{{(-7x(2x-3))/((4x^2 - 12x + 9))}}} = {{{((-14x^2+21x))/((4x^2 - 12x + 9))}}}</PRE>