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 Difference 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})

61 - 283

\frac{7}{15} + \frac{5}{12}

i^{1999}

2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12

y 54 x^{3} y^{3}

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)