Question 657219
{{{ ((25x - 100y) / (30 / (x-4y)))/(6x) }}}
I read this as:
{{{ 25 - 100y }}} divided by some fraction
with {{{ 30 }}} on top
and the fraction {{{ (x-4y)/(6x) }}} on the bottom
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I can take the {{{ (x-4y)/(6x) }}}, flip it, and
multiply it by the {{{ 30 }}}, so I get:
{{{ (25x - 100y) / (30 * ((6x) / (x-4y))) }}}
{{{ (25x - 100y) / ((180x) / (x-4y)) }}}
Now I can flip the {{{ (180x) / (x-4y) }}},
and multiply it by {{{ 25x - 100y }}}
{{{ (25x - 100y) * ((x-4y) / (180x)) }}}
{{{ ((25 - 100x) * (x - 4y)) / (180x) }}}
Divide top and bottom by {{{5}}}
{{{ ((5 - 20x) * (x - 4y)) / (36x) }}}
{{{ ( 5*( -4x + 1 )*( x - 4y )) / 36x }}}
{{{ ( 5*( -4x^2 + x + 16x*y - 4y )) / (36x) }}}
{{{ ( (5x)*( -4x + 16y + 1 ))/ (36x) - (y/(9x)) }}}
{{{ ( 5*( -4x + 16y + 1 ))/36 - (y/(9x)) }}}
Maybe I missed something- hope this helps