Question

Factor Completely:

x^4-36

Answer 1

(x^2 + 6)(x^2 - 6)

Explanation:

To factor x^4 - 36 completely, we can use the difference of squares formula:

a^2 - b^2 = (a + b)(a - b)

We can rewrite x^4 as (x^2)^2 and 36 as 6^2. Then, using the difference of squares formula, we get:

x^4 - 36 = (x^2 + 6)(x^2 - 6)

Therefore, x^4 - 36 can be factored completely into (x^2 + 6)(x^2 - 6).