Mathematics

a2 + 5a + (3 - b) (2 + b)

Factorisation

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Answer

Given,

a2 + 5a + (3 - b)(2 + b)

= a2 + 5a + 6 + 3b - 2b - b2

= a2 + 5a + 6 + b - b2

= (a + b + 2)(a - b + 3).

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

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