What is factor 216t^3-125 ?

The solution to factor 216t^3-125 is (6t-5)(36t^2+30t+25)

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factor 216t^3-125

factor

216 t^{3} - 125

(6 t - 5) (36 t^{2} + 30 t + 25)

Solution steps

216 t^{3} - 125

Apply exponent rules

= (6 t)^{3} - 5^{3}

Apply Difference of Cubes Formula:

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

(6 t)^{3} - 5^{3} = (6 t - 5) (6^{2} t^{2} + 5 \cdot 6 t + 5^{2})

= (6 t - 5) (6^{2} t^{2} + 5 \cdot 6 t + 5^{2})

Simplify

(6 t - 5) (6^{2} t^{2} + 5 \cdot 6 t + 5^{2}) : (6 t - 5) (36 t^{2} + 30 t + 25)

= (6 t - 5) (36 t^{2} + 30 t + 25)

100 - 4 w^{2}

\frac{e ^{5 x}}{e ^{3}}

\frac{3}{4} (3)

\frac{1}{2} x + 13 = 9

64 x^{2} - 48 x y + 9 y^{2}

What is factor 216t^3-125 ?
The solution to factor 216t^3-125 is (6t-5)(36t^2+30t+25)