Question

factorise x^4 + 4 with complete steps

Answer 1

We know that,

(a+b)^2 = a^2 +b^2 + 2ab

=> a^2 +b^2 = (a+b)^2 - 2ab

This identity will be used to factorise this question...
Rest of the Solution is in the attachment......

Answer 2

Given Equation is x^4 + 4.

(x^2 + 2x + 2)(x^2 - 2x + 2)

Explanation:

(x^2 + 2x + 2)(x^2 - 2x + 2)

(x^4 - 2x^3 + 2x^2 + 2x^3 - 4x^2 + 4x + 2x^2 - 4x + 4)

(x^4 + 4).


Hope this helps!