What is factor x^6+y^9 ?

The solution to factor x^6+y^9 is (x^2+y^3)(x^4-x^2y^3+y^6)

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factor x^6+y^9

factor

x^{6} + y^{9}

(x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6})

Solution steps

x^{6} + y^{9}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(x^{2})^{2} - x^{2} y^{3} + (y^{3})^{2} : x^{4} - x^{2} y^{3} + y^{6}

= (x^{2} + y^{3}) (x^{4} - x^{2} y^{3} + y^{6})

\frac{52}{7}

\frac{- 42}{( - 6 )}

- \frac{3}{16} + (- \frac{11}{20})

(1 - i)^{2} - 2 (1 - i) + 2

\frac{2}{- 9}

What is factor x^6+y^9 ?
The solution to factor x^6+y^9 is (x^2+y^3)(x^4-x^2y^3+y^6)