Question

Express x²-12x+32/x²-7x+12 in its lowest terms.​

Answer 1

Answer:

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Answer 2

$\: \: \: \: \: \frac{ {x}^{2} - 12x + 32 }{ {x}^{2} - 7x + 12 } \\ \\ = \frac{ {x}^{2} - 4x - 8x + 32}{ {x}^{2} - 3x - 4x + 12 } \\ \\ = \frac{x(x - 4) - 8(x - 4)}{x(x - 3) - 4(x - 3)} \\ \\ = \frac{(x - 4)(x - 8)}{(x - 3)(x - 4)} \\ \\ = \frac{(x - 8)}{(x - 4)}$