Question

Factorise :
x^4 + 1


# Need qualitative and well explained answer.

Answer 1

Factorise:
x^4 + 1

Solution:

Answer: x² + 1

Explanation:

Formula:

a² + b² = (a + b)² - 2ab

Given,

x^4 + 1

⇒ (x²)² + (1)²

⇒ (x² + 1)² - 2x²

⇒ x² + 2x² + 1 - 2x²

⇒ x² + 1

Hope It Helps!

Answer 2

Answer:  Step-by-step explanation: Factorise ×^4+1 Answer ⇒ ײ+1 Explanation a²+b=(a+b)²-2ab Given x^4+1  ⇒(ײ)²+(1/2) ⇒(ײ+1)-2×2 ⇒ײ+2ײ+1-2ײ ⇒ײ+1 Hope you like it.