What is factor 64u^3-v^3 ?

The solution to factor 64u^3-v^3 is (4u-v)(16u^2+4uv+v^2)

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factor 64u^3-v^3

factor

64 u^{3} - v^{3}

(4 u - v) (16 u^{2} + 4 uv + v^{2})

Solution steps

64 u^{3} - v^{3}

Apply exponent rules

= (4 u)^{3} - v^{3}

Apply Difference of Cubes Formula:

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

(4 u)^{3} - v^{3} = (4 u - v) ((4 u)^{2} + 4 uv + v^{2})

= (4 u - v) ((4 u)^{2} + 4 uv + v^{2})

Simplify

(4 u)^{2} + 4 uv + v^{2} : 16 u^{2} + 4 uv + v^{2}

= (4 u - v) (16 u^{2} + 4 uv + v^{2})

2 m^{2} - 11 m + 15

- \frac{1}{4} (- 4)

x^{3} + 6 x^{2} - 16 x

(2)^{6}

5 k^{2} - 24 k - 5

What is factor 64u^3-v^3 ?
The solution to factor 64u^3-v^3 is (4u-v)(16u^2+4uv+v^2)