Mathematics

Factorise :

a2 - 5a + 6

Factorisation

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Answer

a2 - 5a + 6

= a2 + (- 2 - 3)a + 6

= a2 + - 2a - 3a + 6

= (a2 - 2a) - (3a + 6)

= a(a - 2) - 3(a - 2)

= (a - 2)(a - 3)

Hence, a2 - 5a + 6 = (a - 2)(a - 3)

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