14.1k views
5 votes
Factor completely 625x4 − 81.

User Nerf
by
8.9k points

1 Answer

3 votes

Answer:

(25x^2 + 9) (5x + 3) (5x - 3).

Explanation:

Rewrite 625
x^(4) as (25x²)².

(25x²)² - 81

Rewrite 81 as 9².

(25x²)² - 9²

Since both terms are perfect squares, factor using the difference of squares formula, a² − b² = (a+b) (a−b) where a = 25x² and b = 9.

(25x² + 9) (25x² - 9)

Simplify we get.

(25x² + 9) (5x + 3) (5x - 3)

User Gfytd
by
7.7k points

Related questions

asked Sep 12, 2021 202k views
Michael Pacheco asked Sep 12, 2021
by Michael Pacheco
7.9k points
2 answers
0 votes
202k views
asked Dec 24, 2021 88.9k views
Mcjudd asked Dec 24, 2021
by Mcjudd
8.2k points
1 answer
5 votes
88.9k views