How do you factor ${(a^{2} + 4)}^{2} - 25 a^{2}$ $(a^2 + 4)^2 - 25a^2$ ?

Question

1453 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-31T04:24:58

$y = (a^{2} + 4 - 5 a) (a^{2} + 4 + 5 a) =$ $y = (a^2 + 4 - 5a)(a^2 + 4 + 5a) =$

= $(a^{2} - 5 a + 4) (a^{2} + 5 a + 4)$ $(a^2 - 5a + 4)(a^2 + 5a + 4)$

= [(a - 1)(a - 4)][(a + 1)(a + 4)]

How do you factor (a2+4)2−25a2(a^2 + 4)^2 - 25a^2 ?