What is factor n^3-27y^6 ?

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

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factor n^3-27y^6

factor

n^{3} - 27 y^{6}

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

Solution steps

n^{3} - 27 y^{6}

Apply exponent rules

= n^{3} - (3 y^{2})^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

n^{2} + n \cdot 3 y^{2} + (3 y^{2})^{2} : n^{2} + 3 y^{2} n + 9 y^{4}

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

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

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

2 \cdot 1 0^{- 9}

\frac{3}{6 + 5}

\frac{69}{4}

\frac{4 x}{x ^{2} - 4} + \frac{x}{x + 2}

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