What is factor 27x^6+8y^6 ?

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

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factor 27x^6+8y^6

factor

27 x^{6} + 8 y^{6}

(3 x^{2} + 2 y^{2}) (9 x^{4} - 6 x^{2} y^{2} + 4 y^{4})

Solution steps

27 x^{6} + 8 y^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 x^{2})^{2} - 3 x^{2} \cdot 2 y^{2} + (2 y^{2})^{2} : 9 x^{4} - 6 x^{2} y^{2} + 4 y^{4}

= (3 x^{2} + 2 y^{2}) (9 x^{4} - 6 x^{2} y^{2} + 4 y^{4})

h^{2} o^{2} + h^{2} s

x^{6} + x^{- 6}

\frac{1}{x} \cdot (\frac{a}{( a - x )} - \frac{a}{( a + 3 x )}) - (\frac{3}{( a + 3 x )})

(2 s^{4} + 5)^{5}

(x^{n} y^{- m})^{4} \cdot (x^{3} y^{- 2})^{- n}

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