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

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

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factor x^3-64y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

(- 3 p + 6)^{3}

\frac{5 i}{2 - 3 i}

\frac{x ^{2} - 1}{( x + 2 ) ^{3}} > 0

7 x - 14 = 0

- \frac{1}{3} + \frac{2}{3}

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