What is factor 125t^3+d^3 ?

The solution to factor 125t^3+d^3 is (5t+d)(25t^2-5td+d^2)

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factor 125t^3+d^3

factor

125 t^{3} + d^{3}

(5 t + d) (25 t^{2} - 5 t d + d^{2})

Solution steps

125 t^{3} + d^{3}

Apply exponent rules

= (5 t)^{3} + d^{3}

Apply Sum of Cubes Formula:

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

(5 t)^{3} + d^{3} = (5 t + d) ((5 t)^{2} - 5 t d + d^{2})

= (5 t + d) ((5 t)^{2} - 5 t d + d^{2})

Simplify

(5 t)^{2} - 5 t d + d^{2} : 25 t^{2} - 5 t d + d^{2}

= (5 t + d) (25 t^{2} - 5 t d + d^{2})

\frac{18}{28}

\frac{15}{11} \div \frac{4}{5}

4 x^{2} - 2

\frac{4 i}{2 + 3 i}

4 7^{2}

What is factor 125t^3+d^3 ?
The solution to factor 125t^3+d^3 is (5t+d)(25t^2-5td+d^2)