Mathematics
7 Online
OpenStudy (anonymous):
Simplify: (5x+6)/(x^2-1) - (1)/(x^2-1)
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OpenStudy (ghazi):
just take the base in common and you'll get the solution
OpenStudy (anonymous):
so take out (x^2-1) ?
OpenStudy (ghazi):
yes...
OpenStudy (anonymous):
so what would it be then?
OpenStudy (ghazi):
now you'll have (5x+6-1)/(x^2-1)
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OpenStudy (ghazi):
simplify it ...now
OpenStudy (ghazi):
and take out 5 in common from numerator and factorize the denominator
OpenStudy (anonymous):
i dont know what to do at all...
mathslover (mathslover):
\[\large{\frac{5x+6}{x^2-1}-\frac{1}{x^2-1}}\]
\[\large{\frac{5x+6-1}{x^2-1}}\]
right?
OpenStudy (anonymous):
yeah, but wht next?
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mathslover (mathslover):
what is 6 - 1 ?
OpenStudy (anonymous):
would it be 5/x-1 ?
OpenStudy (anonymous):
5
mathslover (mathslover):
very good now :
\[\large{\frac{5x+6-1}{x^2-1}}\]
\[\large{\frac{5x+5}{x^2-1}}\]
OpenStudy (ghazi):
no it would be 5(x+1)/(x+1)(x-1) now you'll get 5/(x-1)
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mathslover (mathslover):
\[\large{\frac{5(x+1)}{(x+1)(x-1)}}\]
\[\large{\frac{5\cancel{(x+1)}^1}{\cancel{(a+1)}^1(a-1)}}\]
\[\large{\frac{5}{x-1}}\]
mathslover (mathslover):
oops sorry i meant x-1 there not a-1
mathslover (mathslover):
so got it @simplybeyoutiful ?
OpenStudy (anonymous):
yes, thats what i thought it was thank you
mathslover (mathslover):
ur welcome