Simplify : p^2-p-12/p^2-10p+24

Harsh Jatinder asked Jul 8, 2023

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Harsh Jatinder asked Jul 8, 2023

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Explanation:

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

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

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

$= (p(p - 4) + 3(p - 4))/(p(p - 6) - 4(p - 6)) \\$

$= ((p + 3)(p - 4))/((p - 4)(p - 6)) \\$

$= (p + 3)/(p - 6) \\$

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