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Mathematics

Factorise:

(a + 4)2 - 5ab - 20b - 6b2

Factorisation

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Answer

Given,

⇒ (a + 4)2 - 5ab - 20b - 6b2

⇒ (a + 4)2 - 5b(a + 4) - 6b2

⇒ (a + 4)2 - 6b(a + 4) + b(a + 4) - 6b2

⇒ (a + 4)[(a + 4) - 6b] + b[(a + 4) - 6b]

⇒ (a + 4 + b)(a + 4 - 6b).

Hence, (a + 4)2 - 5ab - 20b - 6b2 = (a + 4 + b)(a + 4 - 6b).

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