What is factor 27s^3-125t^3 ?

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

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factor 27s^3-125t^3

factor

27 s^{3} - 125 t^{3}

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

Solution steps

27 s^{3} - 125 t^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{( x + 3 ) ( x - 13 )}{( x - 4 ) ( x + 7 )} \leq 0

∣ y ∣ > 13

(x - 3)^{3} (x - 5) \geq 0

(\frac{16 x ^{5} y ^{10}}{81 x y ^{2}})^{\frac{3}{4}}

lo g_{5} (25) = 3 x + 1

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