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HELP!!!! I can’t figure this out

HELP!!!! I can’t figure this out-example-1
User Fredrick Pennachi
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1 Answer

19 votes
19 votes

Answer:


A.\,\orange{ \bold{ (x - 3)/(3x + 1) }}

Explanation:


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

User Wytze
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