How do you factor $p^{4} - q^{4}$ $p^4-q^4$ ?

Question

8156 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-24T06:36:46

Use the relation $p^{2} - q^{2} = (p - q) (p + q)$ $p^2 - q^2 = (p-q)(p+q)$

$p^{4} - q^{4} = (p^{2} - q^{2}) (p^{2} + q^{2})$ $p^4-q^4 =(p^2-q^2)(p^2+q^2)$
$= (p - q) (p + q) (p^{2} + q^{2})$ $=(p-q)(p+q)(p^2+q^2)$

How do you factor p4−q4p^4-q^4?