Question

Factorize the following:-
4x⁴+1
​

Answer 1

Answer:

( 2x² + 2x + 1 )( 2x² - 2x + 1 )

Step-by-step explanation:

We can use the identity

a² + b² = ( a + b )² - 2ab

Now ,

4x⁴ + 1 = ( 2x² )² + 1²

a = 2x²

b = 1

( 2x² + 1 )² - 2 × 2x² × 1

( 2x² + 2x + 1 )( 2x² - 2x + 1 )