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Factorisation by Regrouping Terms

Factorise: ...

Question

Factorise: $x^{2} + 2 x + 1$

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Solution

Given $x^{2} + 2 x + 1$

$\Rightarrow x^{2} + x + x + 1$

$\Rightarrow x (x + 1) + 1 (x + 1)$

$\Rightarrow (x + 1) (x + 1)$

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