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

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

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factor t^3+64k^3

factor

t^{3} + 64 k^{3}

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

Solution steps

t^{3} + 64 k^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

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

\frac{x ^{\frac{4}{3}}}{\frac{4}{3}}

\frac{4 x}{7} - \frac{8 x}{3}

(\frac{2}{4})^{3}

2 (- 8)

- 6 q + 7 - 2 + 4 q

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