Posted by **Marilyn** on Monday, August 4, 2008 at 11:02pm.

Factor the following completely

x^4 – 625

- Math -
**Damon**, Tuesday, August 5, 2008 at 9:21am
call y = x^2 so x = +/- sqrt y

then

y^2 = 625

y = 25 or y = -25

x = sqrt 25 = +5 or -5

y = sqrt-25 = +5i or -5i

- Math -
**tchrwill**, Tuesday, August 5, 2008 at 12:44pm
Any expression of the form a^2 - b^2 can be written as (a + b)(a - b).

Therefore, x^4 - 625) = (x^2 + 25)(x^2 - 25).

Then, (x^2 + 25)(x + 5)(x - 5)

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