What is factor 512x^3+27y^3 ?

The solution to factor 512x^3+27y^3 is (8x+3y)(64x^2-24xy+9y^2)

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factor 512x^3+27y^3

factor

512 x^{3} + 27 y^{3}

(8 x + 3 y) (64 x^{2} - 24 x y + 9 y^{2})

Solution steps

512 x^{3} + 27 y^{3}

Apply exponent rules

= (8 x)^{3} + (3 y)^{3}

Apply Sum of Cubes Formula:

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

(8 x)^{3} + (3 y)^{3} = (8 x + 3 y) ((8 x)^{2} - 8 x \cdot 3 y + (3 y)^{2})

= (8 x + 3 y) ((8 x)^{2} - 8 x \cdot 3 y + (3 y)^{2})

Simplify

(8 x)^{2} - 8 x \cdot 3 y + (3 y)^{2} : 64 x^{2} - 24 x y + 9 y^{2}

= (8 x + 3 y) (64 x^{2} - 24 x y + 9 y^{2})

(n^{3})^{7}

\frac{121}{144} \cdot x^{8} \cdot y^{6} - \frac{4}{25} \cdot z^{14}

\frac{( x ^{2} + 2 x - 3 )}{( x - 1 )}

\frac{( y ^{2} )}{( x ^{2} + y ^{2} + x )}

(4 a + 3 b)^{3}

What is factor 512x^3+27y^3 ?
The solution to factor 512x^3+27y^3 is (8x+3y)(64x^2-24xy+9y^2)