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Factorisation by Common Factors

Factorise: ...

Question

Factorise: $2 x^{2} - 3 x + 1$ .

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Solution

Given: a quadratic equation; $2 x^{2} - 3 x + 1$
$= 2 x^{2} - 2 x - x + 1$
$= 2 x (x - 1) - 1 (x - 1)$
$= (2 x - 1) (x - 1)$

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