We have: We can also write this as: =(x 2 ) 2 - 1 2 Using identity: a 2 - b 2 = (a – b)(a + b) =(x 2 + 1)(x 2 – 1) Again, Using identity: a 2 - b 2 = (a – b)(a + b) =(x 2 + 1)(x + 1)(x – 1)

Factorize: x 4

Factorize:
x⁴ – 1

We have:

We can also write this as:

=(x²)² - 1²

Using identity: a² - b² = (a – b)(a + b)

=(x² + 1)(x² – 1)

Again,

Using identity: a² - b² = (a – b)(a + b)

=(x² + 1)(x + 1)(x – 1)

Factorize:x4 – 1

Factorize:
x⁴ – 1