Question 144592
{{{(v-5)/(v-7)}}} -{{{(v+1)/(v+7)}}} + {{{(v-35)/(v^2-49)}}}
:
Factor the difference of squares:
{{{(v-5)/(v-7)}}} -{{{(v+1)/(v+7)}}} + {{{(v-35)/((v-7)(v+7))}}}
:
The common denominator is (v-7)(v+7)
{{{((v+7)(v-5) - (v-7)(v+1) + (v-35))/((v-7)(v+7))}}}
:
FOIL
{{{((v^2+2v-35) - (v^2-6v-7) + (v-35))/((v-7)(v+7))}}}
:
{{{(v^2 + 2v - 35 - v^2 + 6v + 7 + v - 35)/((v-7)(v+7))}}}
:
{{{(v^2 - v^2 + 2v + 6v + v - 35 + 7 - 35)/((v-7)(v+7))}}}
;
{{{(9v - 63)/((v-7)(v+7))}}}
:
Factor:
{{{(9(v-7))/((v-7)(v+7))}}}
:
Cancel (v-7)
{{{9/(v+7)}}}