Question

Factorise it completely-
y² - b² - 8b - 16


Please please explain it also...​

Answer 1

Answer:

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Answer 2

Answer:

(y - b - 4)(y + b + 4)

Step-by-step explanation:

Given Equation is y² - b² - 8b - 16

⇒ y² - b² - 4b - 4b - 16

⇒ y² - [b² + 4b + 4b + 16]

⇒ y² - [b(b + 4) + 4(b + 4)]

⇒ y² - (b + 4)²

[∵ a² - b² = (a + b)(a - b)]

⇒ (y - b - 4)(y + b + 4)

Hope it helps!