What is factor (x^3)/(64)-y^6 ?

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

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factor (x^3)/(64)-y^6

factor

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

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

Solution steps

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

Rewrite

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

Apply Difference of Cubes Formula:

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

Refine

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

[4.7]

64 e^{4} ln (2 e) - 16 e^{4}

(x + Δ x)^{3}

x y^{3} ln (x) d x - 2 d x

a^{2} - 17 a + 2^{2}

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