Mathematics

Factorise the following:

p2 - (a + 2b)p + 2ab

Factorisation

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Answer

p2 - (a + 2b)p + 2ab = p2 - ap - 2bp + 2ab

= p2 - 2bp - ap + 2ab

= p(p - 2b) - a(p - 2b)

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

Hence, p2 - (a + 2b)p + 2ab = (p - 2b)(p - a).

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