Question 302220
Simplify ((1/x)-(1/x+1))/((-2/x+1)-(3/x))


{{{((1/(x))-(1/(x+1))) }}} ÷ {{{((-2/(x+1))-(3/x)) }}}

Common denominator : x(x+1)

{{{((x+1-x)/(x(x+1))) }}}÷ {{{((-2x-3(x+1)))/(x(x+1))) }}}


{{{(1/(x(x+1))) }}}÷ {{{((-2x-3x-3)/(x(x+1))) }}}

{{{(1/(x(x+1))) }}}÷ {{{((-5x-3)/(x(x+1))) }}}

{{{(1/(x(x+1))) }}}* {{{((x(x+1)/(-5x-3))) }}}

Cancel out "x(x+1)"
{{{1/(-5x-3) }}}