combine as indicated by the signs. 4/ y^2-9 + 5/y+3

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26-06-2018
Mathematics

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combine as indicated by the signs. 4/ y^2-9 + 5/y+3

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mkryukova19 mkryukova19 · Answer 1 · 2018-06-26T15:23:26+02:00

mkryukova19 mkryukova19

26-06-2018

[tex] \frac{4}{y^{2}-9 } + \frac{5}{y+3} = \frac{4}{(y-3)(y+3) } + \frac{5}{y+3}= \frac{4}{(y-3)(y+3) } + \frac{5(y-3)}{(y-3)(y+3)}= \\ \\=\frac{4}{(y-3)(y+3) } + \frac{5y-15}{(y-3)(y+3)}= \frac{5y-11}{(y-3)(y+3)}=\frac{5y-11}{y^{2}-9} [/tex]

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