Question

Simplify : p^2-p-12/p^2-10p+24​

Answer 1

Step-by-step explanation:

$= \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24}$

$= \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4}$

$= \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 }$

$= \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)}$

$= \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)}$

$= \frac{p + 3}{p - 6}$

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