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 Sum 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{y}{3})^{- 7}

24 x y + 25 y^{2} - 20 x - 30 y^{3}

\frac{4 x + 6}{x ^{2} + 5 x + 6} \geq 1

\frac{4}{3} - \frac{2}{4}

9 y - 6 + y + 8 = 42

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)