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Popular >

factor x^6-81

Solution

factor

x^{6} - 81

Solution

(x^{3} + 9) (x^{3} - 9)

Solution steps

x^{6} - 81

Apply exponent rules

= (x^{3})^{2} - 9^{2}

Apply Difference of Two Squares Formula:

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

(x^{3})^{2} - 9^{2} = (x^{3} + 9) (x^{3} - 9)

= (x^{3} + 9) (x^{3} - 9)

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Frequently Asked Questions (FAQ)

What is factor x^6-81 ?
The solution to factor x^6-81 is (x^3+9)(x^3-9)