Question

pls answer my question ​

Answer 1

Step-by-step explanation:

$\frac{ {x}^{2} + 8x + 12 }{ {x}^{2} - 7x + 12 } \div \frac{ {x}^{2} + 4x - 12 }{x - 4} \\ = \frac{(x + 2)(x + 6)}{(x - 4)(x - 3)} \div \frac{(x - 2)(x + 6)}{x - 4} \\ = \frac{(x + 2)(x + 6)}{(x - 4)(x - 3)} \times \frac{x - 4}{(x - 2)(x + 6)} \\ = \frac{x + 2}{(x - 2)(x - 3)}$

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