What is factor 8c^6-27d^9 ?

The solution to factor 8c^6-27d^9 is (2c^2-3d^3)(4c^4+6c^2d^3+9d^6)

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factor 8c^6-27d^9

factor

8 c^{6} - 27 d^{9}

(2 c^{2} - 3 d^{3}) (4 c^{4} + 6 c^{2} d^{3} + 9 d^{6})

Solution steps

8 c^{6} - 27 d^{9}

Apply exponent rules

= (2 c^{2})^{3} - (3 d^{3})^{3}

Apply Difference of Cubes Formula:

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

(2 c^{2})^{3} - (3 d^{3})^{3} = (2 c^{2} - 3 d^{3}) ((2 c^{2})^{2} + 2 c^{2} \cdot 3 d^{3} + (3 d^{3})^{2})

= (2 c^{2} - 3 d^{3}) ((2 c^{2})^{2} + 2 c^{2} \cdot 3 d^{3} + (3 d^{3})^{2})

Simplify

(2 c^{2})^{2} + 2 c^{2} \cdot 3 d^{3} + (3 d^{3})^{2} : 4 c^{4} + 6 c^{2} d^{3} + 9 d^{6}

= (2 c^{2} - 3 d^{3}) (4 c^{4} + 6 c^{2} d^{3} + 9 d^{6})

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

- 2 > \frac{m}{6} - 7

- \frac{4}{5} + 5

x - 2 = - 8

\frac{f}{4} > 2

What is factor 8c^6-27d^9 ?
The solution to factor 8c^6-27d^9 is (2c^2-3d^3)(4c^4+6c^2d^3+9d^6)