What is factor 27t^3-125 ?

The solution to factor 27t^3-125 is (3t-5)(9t^2+15t+25)

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factor 27t^3-125

factor

27 t^{3} - 125

(3 t - 5) (9 t^{2} + 15 t + 25)

Solution steps

27 t^{3} - 125

Apply exponent rules

= (3 t)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 t - 5) (3^{2} t^{2} + 5 \cdot 3 t + 5^{2}) : (3 t - 5) (9 t^{2} + 15 t + 25)

= (3 t - 5) (9 t^{2} + 15 t + 25)

(\frac{1}{4} x^{2} + \frac{1}{6} x^{3}) (\frac{1}{2} x^{4} - \frac{1}{3} x^{6})

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

(\frac{2}{3} x^{2} y - \frac{1}{4} y^{2})^{2}

(x^{3} - y)^{3}

- 2 - 4 (x - 1) + x

What is factor 27t^3-125 ?
The solution to factor 27t^3-125 is (3t-5)(9t^2+15t+25)