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Algebraic Identities

Solve: p2 -...

Question

Solve: $p^{2} - 10 p + 16$

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Solution

$p^{2} - 10 p + 16$
$= p^{2} - 2 p - 8 p + 16$
$= p (p - 2) - 8 (p - 2)$
$= (p - 2) (p - 8)$
$∴ p^{2} - 10 p + 16 = (p - 2) (p - 8)$ .

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