What is factor x^9-y^9 ?

The solution to factor x^9-y^9 is (x-y)(x^2+xy+y^2)(x^6+x^3y^3+y^6)

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factor x^9-y^9

factor

x^{9} - y^{9}

(x - y) (x^{2} + x y + y^{2}) (x^{6} + x^{3} y^{3} + y^{6})

Solution steps

x^{9} - y^{9}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(x^{3})^{2} + x^{3} y^{3} + (y^{3})^{2} : x^{6} + x^{3} y^{3} + y^{6}

= (x^{3} - y^{3}) (x^{6} + x^{3} y^{3} + y^{6})

Factor

x^{3} - y^{3} : (x - y) (x^{2} + x y + y^{2})

= (x - y) (x^{2} + x y + y^{2}) (x^{6} + x^{3} y^{3} + y^{6})

\frac{7 ( ( 16 ( 2 ) ^{3} ) - 2 )}{5 ^{\frac{4}{5}}}

100 x^{2} - 9 y^{2}

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

100 b^{2} - 90 b + 20

0 \geq x \geq 10

What is factor x^9-y^9 ?
The solution to factor x^9-y^9 is (x-y)(x^2+xy+y^2)(x^6+x^3y^3+y^6)