Answer
Appendix A - Ex. Set : 61 (Answer)
$x^4 – 1$
$= (x^2 + 1)(x + 1)(x – 1)$
Work Step by Step
Appendix A - Ex. Set : 61 (Solution)
$x^4 – 1$
$= (x^2)^2 – (1)^2$
$= (x^2 + 1)(x^2 – 1)$ (Difference of Two Squares)
$= (x^2 + 1)(x^2 – 1^2)$
$= (x^2 + 1)(x + 1)(x – 1)$ (Difference of Two Squares)