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Nana76 [90]
2 years ago
5

HELP!!!! I can’t figure this out

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer:

A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}

Step-by-step explanation:

\frac{x + 2}{ {x}^{2} + 5x + 6 }  \div  \frac{3x + 1}{ {x}^{2}  - 9}  \\  \\  = \frac{x + 2}{ {x}^{2} + 3x  + 2x+ 6 }  \div  \frac{3x + 1}{ {x}^{2}  -  {(3)}^{2} }  \\  \\  = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }}   \times   \frac{\cancel{( {x}  +   3)}( {x} -  {3)}}{3x + 1}  \\  \\  =  \purple{ \bold{ \frac{x - 3}{3x + 1} }}

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