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

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

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factor k^3+64y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

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

\frac{1}{x ^{2}} - \frac{1}{x ^{3}}

3 a - 4 a

\frac{1}{4} \cdot \frac{4}{3}

\frac{4 + 9 i}{12 i}

\frac{1}{x} + \frac{1 - x}{x ^{2} + 2 x} - \frac{2}{x + 1}

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