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Mathematics

Factorise the following:

x2 - x(a + 2b) + 2ab

Factorisation

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Answer

x2 - x(a + 2b) + 2ab

= x2 - xa - 2bx + 2ab

= x(x - a) - 2b(x - a)

= (x - a)(x - 2b).

Hence, x2 - x(a + 2b) + 2ab = (x - a)(x - 2b).

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