What is factor 4x^3-256y^3 ?

The solution to factor 4x^3-256y^3 is 4(x-4y)(x^2+4xy+16y^2)

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factor 4x^3-256y^3

factor

4 x^{3} - 256 y^{3}

4 (x - 4 y) (x^{2} + 4 x y + 16 y^{2})

Solution steps

4 x^{3} - 256 y^{3}

Factor out common term

4 : 4 (x^{3} - 64 y^{3})

= 4 (x^{3} - 64 y^{3})

Factor

x^{3} - 64 y^{3} : (x - 4 y) (x^{2} + 4 x y + 16 y^{2})

= 4 (x - 4 y) (x^{2} + 4 x y + 16 y^{2})

\frac{- 1 + 4}{2}

\frac{( 15 x - 20 y )}{5}

- \frac{6}{10}

\frac{1}{2} \cdot \frac{- 1}{2}

(6 x + 1) (x - 1)

What is factor 4x^3-256y^3 ?
The solution to factor 4x^3-256y^3 is 4(x-4y)(x^2+4xy+16y^2)