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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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