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Popular >

factor x^8-25

Solution

factor

x^{8} - 25

Solution

(x^{4} + 5) (x^{4} - 5)

Solution steps

x^{8} - 25

Apply exponent rules

= (x^{4})^{2} - 5^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x^{4})^{2} - 5^{2} = (x^{4} + 5) (x^{4} - 5)

= (x^{4} + 5) (x^{4} - 5)

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Frequently Asked Questions (FAQ)

What is factor x^8-25 ?
The solution to factor x^8-25 is (x^4+5)(x^4-5)