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Find the lowest common denominator
We have : \[\frac 6{8y+8}=\frac{6}{8(y+1)}=\frac{3}{4(y+1)}\] And : \[\frac{y+5}{6y^2-6}=\frac{y+5}{6(y^2-1)}=\frac{y+5}{6(y-1)(y+1)}\] Can you now determine the lowest common denominator ?
24y^2?
24(y^2-1) or 24(y^2-1)(y+1)
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...
Look, it is very simple ! First, we have the numbers 4 in the 1st fraction and 6 in the 2nd question, the lowest common multiple between them is 12 (not 24) ok ? Then, we have y+1 in the 1st and (y+1)(y-1) in the 2nd, so the lowest common multiple is (y+1)(y-1). We conclude that the lowest common denominator is : \[12(y+1)(y-1)\]
Sorry I am obnoxiously awful at math, thank you so much!
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