What is factor 289x^8-y^8 ?

The solution to factor 289x^8-y^8 is (17x^4+y^4)(17x^4-y^4)

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factor 289x^8-y^8

factor

289 x^{8} - y^{8}

(17 x^{4} + y^{4}) (17 x^{4} - y^{4})

Solution steps

289 x^{8} - y^{8}

289 x^{8} = (17 x^{4})^{2}

y^{8} = (y^{4})^{2}

= (17 x^{4})^{2} - (y^{4})^{2}

Apply Difference of Two Squares Formula:

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

(17 x^{4})^{2} - (y^{4})^{2} = (17 x^{4} + y^{4}) (17 x^{4} - y^{4})

= (17 x^{4} + y^{4}) (17 x^{4} - y^{4})

x^{6} + 2 x + x^{2}

(a^{2})^{2} + (b^{2})^{2}

y^{4} - 372 + 1 - x^{0} - 3 - 2 - 1

x^{4} + x^{5}

(3 a)^{2} + (- 2 b)^{2} - (2 a^{2})

What is factor 289x^8-y^8 ?
The solution to factor 289x^8-y^8 is (17x^4+y^4)(17x^4-y^4)