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

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

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factor t^3+125s^3

factor

t^{3} + 125 s^{3}

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

Solution steps

t^{3} + 125 s^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

t^{3} + (5 s)^{3} = (t + 5 s) (t^{2} - t \cdot 5 s + (5 s)^{2})

= (t + 5 s) (t^{2} - t \cdot 5 s + (5 s)^{2})

Simplify

t^{2} - t \cdot 5 s + (5 s)^{2} : t^{2} - 5 t s + 25 s^{2}

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

7^{- 3} \cdot 7^{2}

(- \frac{3}{5})^{- 3}

\frac{2 - x}{x ^{2} - 4}

(- 54) - (22)

(x^{2} - 6)^{2} - 6

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