What is factor k^3m^3+n^3 ?

The solution to factor k^3m^3+n^3 is (km+n)(k^2m^2-kmn+n^2)

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factor k^3m^3+n^3

factor

k^{3} m^{3} + n^{3}

(km + n) (k^{2} m^{2} - kmn + n^{2})

Solution steps

k^{3} m^{3} + n^{3}

Rewrite

k^{3} m^{3}

(km)^{3}

= (km)^{3} + n^{3}

Apply Sum of Cubes Formula:

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

(km)^{3} + n^{3} = (km + n) ((km)^{2} - kmn + n^{2})

= (km + n) ((km)^{2} - kmn + n^{2})

Simplify

(km + n) ((km)^{2} - kmn + n^{2}) : (km + n) (k^{2} m^{2} - kmn + n^{2})

= (km + n) (k^{2} m^{2} - kmn + n^{2})

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6 x^{2} - 4 a x - 9 b x + 6 ab

What is factor k^3m^3+n^3 ?
The solution to factor k^3m^3+n^3 is (km+n)(k^2m^2-kmn+n^2)