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(a-b)^2 Expansion and Visualisation

Factorise p2-...

Question

Factorise $p^{2} - 10 p + 25$

(2 p + 5)^{2}

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(2 p - 5)^{2}

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(p + 5)^{2}

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(p - 5)^{2}

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Solution

The correct option is B $(p - 5)^{2}$
$p^{2} - 10 p + 25$
$= p^{2} - 5 p - 5 p + 25$
$= p (p - 5) - 5 (p - 5)$
$= (p - 5) (p - 5)$

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