Question

Factorise x^4 + x^2 + 1.​

Answer 1

Step-by-step explanation:

here we will use (a + b)^2

x^4 x^2 +1 can be written as:-

(x^2)^2 + 2x^2 + (1)^2 - x^2

(x^2 + 1)^2 - x^2

Now using identify a^2 - b^2 = (a +b)(a -b) we can easily solve this problem

(x^2 + 1)^2 - x^2

(x^2 + 1 -x)(x^2 + 1 +x)

This is the required solution

Hope you like my explanation:)