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Alona [7]
3 years ago
10

Simplify the sum please help and show work

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Factoring the second term shows you what the common denominator must be. Then multiply the first term by the appropriate version of 1 and add.

\displaystyle\frac{4}{m+9}+\frac{5}{m^2-81}=\frac{4}{m+9}+\frac{5}{(m+9)(m-9)}\\\\=\frac{4(m-9)}{(m+9)(m-9)}+\frac{5}{(m+9)(m-9)}=\frac{4(m-9)+5}{(m+9)(m-9)}\\\\=\frac{4m-36+5}{(m+9)(m-9)}\\\\=\frac{4m-31}{(m+9)(m-9)}

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