Factorize: x 4 – 625

Question

Factorize: x 4 &#x2013; 625

Philoid · Accepted Answer

We have:

We can also write this as:

=(x²)² – (25)²

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

=(x² + 25)(x² – 25)

Again,

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

Factorize:x4 – 625