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Mathematics 7 Online
OpenStudy (anonymous):

help

OpenStudy (anonymous):

OpenStudy (nurali):

i think A.

jimthompson5910 (jim_thompson5910):

\[\Large \frac{\frac{x^2+2x+1}{x-2}}{\frac{x^2-1}{x^2-4}}\] is the same as \[\Large \frac{x^2+2x+1}{x-2} \times \frac{x^2-4}{x^2-1}\]

jimthompson5910 (jim_thompson5910):

and you can combine the fractions to get \[\Large \frac{(x^2+2x+1)(x^2-4)}{(x-2)(x^2-1)}\]

jimthompson5910 (jim_thompson5910):

then factor everything to get \[\Large \frac{(x+1)(x+1)(x-2)(x+2)}{(x-2)(x-1)(x+1)}\]

OpenStudy (anonymous):

so what would the answer be ?

OpenStudy (nurali):

A is correct lol.

jimthompson5910 (jim_thompson5910):

yes, cancelling the common factors leads to \[\Large \frac{(x+1)(x+2)}{x-1}\] which is A

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