Question

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Answer 1

(x - 1)(x + 1)(x² + 1)

Explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!