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Factorisation by Regrouping Terms

Factorise: ...

Question

Factorise: $6 a x - 6 a + 5 x - 5$

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Solution

The equation $6 a x - 6 a + 5 x - 5$ can be factorised as follows:

$6 a x - 6 a + 5 x - 5 = (6 a x - 6 a) + (5 x - 5) = 6 a (x - 1) + 5 (x - 1) = (6 a + 5) (x - 1)$

Hence, $6 a x - 6 a + 5 x - 5 = (6 a + 5) (x - 1)$

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