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frez [133]
3 years ago
10

PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

\purple { \bold{ \frac{   (x   - 3)}{3x - 18}  }}

Step-by-step explanation:

\frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2}  + x - 12}{3x - 18}  \\  \\  = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2}  + 4x - 3x - 12}{3(x - 6)}  \\  \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x  + 4)}{3(x - 6)}  \\  \\ = \frac{ \cancel{(x + 3)}}{ (x + 4)  \cancel{(x + 3)} } . \frac{ (x + 4) (x   - 3)}{3(x - 6)}  \\  \\ = \frac{1}{ \cancel{ (x + 4)}   } . \frac{  \cancel{ (x + 4)} (x   - 3)}{3(x - 6)}  \\  \\    \red{ \bold{= \frac{   (x   - 3)}{3x - 18}  }}\\  \\

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