What is factor x^6-y^{16} ?

The solution to factor x^6-y^{16} is (x^3+y^8)(x^3-y^8)

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factor x^6-y^{16}

factor

x^{6} - y^{16}

(x^{3} + y^{8}) (x^{3} - y^{8})

Solution steps

x^{6} - y^{16}

x^{6} = (x^{3})^{2}

y^{16} = (y^{8})^{2}

= (x^{3})^{2} - (y^{8})^{2}

Apply Difference of Two Squares Formula:

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

(x^{3})^{2} - (y^{8})^{2} = (x^{3} + y^{8}) (x^{3} - y^{8})

= (x^{3} + y^{8}) (x^{3} - y^{8})

\frac{( x + 1 )}{6} - 2 x = \frac{( x ^{2} - 16 )}{9} - 8

2 \cdot \frac{4}{5}

\frac{1}{2} π

6 x^{3} + 10 x^{2} + 3 x + 5

\frac{( 3 - i )}{( 2 - i )}

What is factor x^6-y^{16} ?
The solution to factor x^6-y^{16} is (x^3+y^8)(x^3-y^8)