Question

4x^8+1 factroize please answer as soon as possible​

Answer 1

Required Answer:-

Given To Factorise:

• 4x⁸ + 1

Solution:

We have,

4x⁸ + 1

= (2x⁴)² + (1)²

= (2x⁴)² + (1)² + 2 × (2x⁴) × (1) - 2 × (2x⁴) × (1). [Add and subtract]

= (2x⁴ + 1) - 4x⁴

= (2x⁴ + 1) - (2x²)²

Now, this is in the form of a² - b². So,

= (2x⁴ + 2x² + 1)(2x⁴ - 2x² + 1)

★ Hence, the factorised form of the polynomial is (2x⁴ + 2x² + 1)(2x⁴ - 2x² + 1)

Answer:

• The factorised form is - (2x⁴ + 2x² + 1)(2x⁴ - 2x² + 1)