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s2 1
———————— — ——————
13s2-13s 13s-13
Factor the two denominators:
s2 1
———————— — ———————
13s(s-1) 13(s-1)
The LCD = 13s(s-1)
The first fraction already has the LCD.
To cause the second fraction to have the LCD, we
notice that it is missing a factor of " s ". So
we multiply it by s/s:
s2 1 s
———————— — ——————— × ———
13s(s-1) 13(s-1) s
So now we have:
s2 s
———————— — ————————
13s(s-1) 13s(s-1)
Since the denominators are now equal, we can combine
the numerators over the common denominator:
s2-s
————————
13s(s-1)
Now we factor the numerator:
s(s-1)
————————
13s(s-1)
Cancel the s's:
1
s(s-1)
————————
13s(s-1)
1
(s-1)
———————
13(s-1)
Cancel the (s-1)'s
1
(s-1)
———————
13(s-1)
1
1
————
13
Edwin
AnlytcPhil@aol.com