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Mathematics 18 Online
OpenStudy (anonymous):

Subtract and simplify: The quantity 5 x plus 6, all over the binomial x squared minus 1, end quantity, minus the quantity 1 over the binomial x squared minus 1, end quantity.

OpenStudy (anonymous):

( 5x+6/x^2-1) - (1/x^2-1)

OpenStudy (anonymous):

subtract in the numerator, leave the denominator alone

OpenStudy (anonymous):

\[\frac{5x+6-1}{x^2-1}\]

OpenStudy (anonymous):

5x-5/x^2-1

OpenStudy (anonymous):

5x+5* oops

OpenStudy (anonymous):

well that didn't work (5x+6-1)/(x^2-1) should be +5, not -5

OpenStudy (anonymous):

yeah, that's it

OpenStudy (anonymous):

I understand that part I don't understand how to simplify it further

OpenStudy (anonymous):

I keep getting 10/x-1 as an answer but it's not an option

OpenStudy (anonymous):

factor out the 5 in the numerator, get 5(x+1)/(x^2-1)

OpenStudy (anonymous):

factor the denominator and cancel the common factor of x + 1

OpenStudy (anonymous):

not sure where you got the 10 from factor out the 5, leaves 5 up top

OpenStudy (anonymous):

got that? should be 5/(x-1)

OpenStudy (anonymous):

I understand thanks

OpenStudy (anonymous):

yw

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