Question

Factorise the following using suitable identities apower4-16bpower 4

Answer 1

a⁴ - 16b⁴

We can also write this as :

⇒ (a²)² - (4b²)²

Identity : x² - y² = (x + y)(x - y)

Here, x = a², y = 4b²

⇒ (a² + 4b²)(a² - 4b²)

We can also write (a² - 4b²) as :

⇒ (a)² - (2b)²

Again using the above identity, we get

Here, x = a, y = 2b

⇒ (a + 2b)(a - 2b)

Hence, the answer is :

⏩ (a² + 4b²)(a + 2b)(a - 2b)

Answer 2

Answer:

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Step-by-step explanation:

a⁴ - 16b⁴

We can also write this as :

⇒ (a²)² - (4b²)²

Identity : x² - y² = (x + y)(x - y)

Here, x = a², y = 4b²

⇒ (a² + 4b²)(a² - 4b²)

We can also write (a² - 4b²) as :

⇒ (a)² - (2b)²

Again using the above identity, we get

Here, x = a, y = 2b

⇒ (a + 2b)(a - 2b)

Hence, the answer is :

⏩ (a² + 4b²)(a + 2b)(a - 2b)