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Factors of Algebraic Expressions and Factorisation

Factorise:p2-...

Question

Factorise:
p² − 10p + 25

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Solution

We have:
$p^{2} - 10 p + 25 = p^{2} - 2 \times p \times 5 + {(5)}^{2}$
$= {(p - 5)}^{2}$

∴ $p^{2} - 10 p + 25 = {(p - 5)}^{2}$

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