What is factor 216x^9+125y^3 ?

The solution to factor 216x^9+125y^3 is (6x^3+5y)(36x^6-30x^3y+25y^2)

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factor 216x^9+125y^3

factor

216 x^{9} + 125 y^{3}

(6 x^{3} + 5 y) (36 x^{6} - 30 x^{3} y + 25 y^{2})

Solution steps

216 x^{9} + 125 y^{3}

Apply exponent rules

= (6 x^{3})^{3} + (5 y)^{3}

Apply Sum of Cubes Formula:

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

(6 x^{3})^{3} + (5 y)^{3} = (6 x^{3} + 5 y) ((6 x^{3})^{2} - 6 x^{3} \cdot 5 y + (5 y)^{2})

= (6 x^{3} + 5 y) ((6 x^{3})^{2} - 6 x^{3} \cdot 5 y + (5 y)^{2})

Simplify

(6 x^{3})^{2} - 6 x^{3} \cdot 5 y + (5 y)^{2} : 36 x^{6} - 30 x^{3} y + 25 y^{2}

= (6 x^{3} + 5 y) (36 x^{6} - 30 x^{3} y + 25 y^{2})

5 x^{2} - 42 x + 49

3 - \frac{5}{6}

\frac{12 a}{a}

\frac{30}{200}

x^{5} y^{3} + x^{2} y

What is factor 216x^9+125y^3 ?
The solution to factor 216x^9+125y^3 is (6x^3+5y)(36x^6-30x^3y+25y^2)