Question 144592
Preform the indicated operations and simplify: 
(v-5/v-7)-(v+1/v+7)+(v-35/v^2-49) 
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[(v-5)(v+7)-(v+1)(v-7)] / [v^2-49] + [v-35]/[v^2-49]

= [v^2+2v-35-(v^2-6v-7) + v-35] / [v^2-49]

= [9v-63]/[v^2-49]

= [9(v-7)]/[v^2-49]

= 9/(v+7)

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Cheers,
Stan H.