x2-7x+12/x2-9
you solve this question
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your answer would be =
x-4/x-3
x-4/x-3
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➡HERE IS YOUR ANSWER⬇
![\frac{ {x}^{2} - 7x + 12 }{ {x}^{2} - 9} \\ \\ = \frac{ {x}^{2} - 4x - 3x + 12}{( {x})^{2} - ( {3})^{2} } \\ \\ = \frac{x(x - 4) - 3(x - 4)}{(x + 3)(x - 3)} \\ \\ = \frac{(x - 4)(x - 3)}{(x + 3)(x - 3)} \\ \\ = \frac{x - 4}{x + 3} \frac{ {x}^{2} - 7x + 12 }{ {x}^{2} - 9} \\ \\ = \frac{ {x}^{2} - 4x - 3x + 12}{( {x})^{2} - ( {3})^{2} } \\ \\ = \frac{x(x - 4) - 3(x - 4)}{(x + 3)(x - 3)} \\ \\ = \frac{(x - 4)(x - 3)}{(x + 3)(x - 3)} \\ \\ = \frac{x - 4}{x + 3}](https://tex.z-dn.net/?f=+%5Cfrac%7B+%7Bx%7D%5E%7B2%7D+-+7x+%2B+12+%7D%7B+%7Bx%7D%5E%7B2%7D++-+9%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%7Bx%7D%5E%7B2%7D++-+4x+-+3x+%2B+12%7D%7B%28+%7Bx%7D%29%5E%7B2%7D+-+%28+%7B3%7D%29%5E%7B2%7D++%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7Bx%28x+-+4%29+-+3%28x+-+4%29%7D%7B%28x+%2B+3%29%28x+-+3%29%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B%28x+-+4%29%28x+-+3%29%7D%7B%28x+%2B+3%29%28x+-+3%29%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7Bx+-+4%7D%7Bx+%2B+3%7D+)
⬆HOPE THIS HELPS YOU⬅
⬆HOPE THIS HELPS YOU⬅
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