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Factor completely [tex]625x^4 - 81[/tex].

Answer :

Answer:

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

Step-by-step explanation:

Rewrite 625[tex]x^{4}[/tex] 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)

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Rewritten by : Jeany