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Y_Kistochka [10]
2 years ago
9

Perform the operation and simplify

Mathematics
1 answer:
kakasveta [241]2 years ago
4 0

Answer:

\frac{x + 4}{3x(x + 1)}  \\

Step-by-step explanation:

\frac{ {x}^{2} + 10x + 24 }{3 {x}^{2}  + 3x}  \div (x + 6) \\  \frac{ {x}^{2}  + 4x + 6x + 24}{ 3x(x + 1)}   \times  \frac{1}{(x + 6)}  \\  \frac{x( x+ 4) + 6(x + 4)}{3x(x + 1)}  \times  \frac{1}{(x + 6)}  \\  \frac{(x + 4)(x + 6)}{3x(x + 1)}  \times  \frac{1}{(x + 6)}  \\  \frac{(x + 4)}{3x(x + 1)}  \\

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