What is factor x^3-64y^6 ?

The solution to factor x^3-64y^6 is (x-4y^2)(x^2+4xy^2+16y^4)

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factor x^3-64y^6

factor

x^{3} - 64 y^{6}

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

Solution steps

x^{3} - 64 y^{6}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

x^{3} - (4 y^{2})^{3} = (x - 4 y^{2}) (x^{2} + x \cdot 4 y^{2} + (4 y^{2})^{2})

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

Simplify

x^{2} + x \cdot 4 y^{2} + (4 y^{2})^{2} : x^{2} + 4 x y^{2} + 16 y^{4}

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

\frac{- 3}{( - \frac{2}{5} )}

- (- 15) - 45

2^{- 3} + 3^{- 2}

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

x^{5} x^{7}

What is factor x^3-64y^6 ?
The solution to factor x^3-64y^6 is (x-4y^2)(x^2+4xy^2+16y^4)