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Popular >

factor x^{10}-16

Solution

factor

x^{10} - 16

Solution

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

Solution steps

x^{10} - 16

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

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

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Frequently Asked Questions (FAQ)

What is factor x^{10}-16 ?
The solution to factor x^{10}-16 is (x^5+4)(x^5-4)