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Popular >

factor x^8-100

Solution

factor

x^{8} - 100

Solution

(x^{4} + 10) (x^{4} - 10)

Solution steps

x^{8} - 100

Apply exponent rules

= (x^{4})^{2} - 1 0^{2}

Apply Difference of Two Squares Formula:

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

(x^{4})^{2} - 1 0^{2} = (x^{4} + 10) (x^{4} - 10)

= (x^{4} + 10) (x^{4} - 10)

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Frequently Asked Questions (FAQ)

What is factor x^8-100 ?
The solution to factor x^8-100 is (x^4+10)(x^4-10)