What is factor 125y^3+64k^3 ?

The solution to factor 125y^3+64k^3 is (5y+4k)(25y^2+16k^2-20ky)

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factor 125y^3+64k^3

factor

125 y^{3} + 64 k^{3}

(5 y + 4 k) (25 y^{2} + 16 k^{2} - 20 k y)

Solution steps

125 y^{3} + 64 k^{3}

Apply exponent rules

= (5 y)^{3} + (4 k)^{3}

Apply Sum of Cubes Formula:

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

(5 y)^{3} + (4 k)^{3} = (5 y + 4 k) ((5 y)^{2} - 5 y \cdot 4 k + (4 k)^{2})

= (5 y + 4 k) ((5 y)^{2} - 5 y \cdot 4 k + (4 k)^{2})

Simplify

(5 y)^{2} - 5 y \cdot 4 k + (4 k)^{2} : 25 y^{2} - 20 y k + 16 k^{2}

= (5 y + 4 k) (25 y^{2} - 20 y k + 16 k^{2})

= (5 y + 4 k) (25 y^{2} + 16 k^{2} - 20 k y)

\frac{( 33 x ^{5} \cdot y ^{- 4} )}{( 11 x ^{3} \cdot y ^{2} )}

(5 x^{- 3} \cdot y \cdot z^{2})^{- 2}

(\frac{x + 1}{x})^{3}

(\frac{( x + 3 )}{x}) + (\frac{( x + 3 )}{( x + 3 )})

x^{4} - 3 x + 20

What is factor 125y^3+64k^3 ?
The solution to factor 125y^3+64k^3 is (5y+4k)(25y^2+16k^2-20ky)