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GaryK [48]
3 years ago
14

What is the sum? 3y/y^2+7y+10+2/y+2

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0
\frac{3y}{y^2+7y+10} + \frac{2}{y+2}  \\  \\ = \frac{3y}{(y+2)(y+5)} + \frac{2}{y+2}  \\  \\ = \frac{3y}{(y+2)(y+5)} + \frac{2(y+5)}{(y+2)(y+5)}  \\  \\ = \frac{3y+2(y+5)}{(y+2)(y+5)} = \frac{3y+2y+10}{(y+2)(y+5)}  \\  \\ = \frac{5y+10}{(y+2)(y+5)} = \frac{5(y+2)}{(y+2)(y+5)}  \\  \\ = \frac{5}{y+5}
VARVARA [1.3K]3 years ago
8 0

the answer is 5/y+5

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