What is factor 64t^3-125s^3 ?

The solution to factor 64t^3-125s^3 is (4t-5s)(16t^2+20ts+25s^2)

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factor 64t^3-125s^3

factor

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

(4 t - 5 s) (16 t^{2} + 20 t s + 25 s^{2})

Solution steps

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

Apply exponent rules

= (4 t)^{3} - (5 s)^{3}

Apply Difference of Cubes Formula:

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

(4 t)^{3} - (5 s)^{3} = (4 t - 5 s) ((4 t)^{2} + 4 t \cdot 5 s + (5 s)^{2})

= (4 t - 5 s) ((4 t)^{2} + 4 t \cdot 5 s + (5 s)^{2})

Simplify

(4 t)^{2} + 4 t \cdot 5 s + (5 s)^{2} : 16 t^{2} + 20 t s + 25 s^{2}

= (4 t - 5 s) (16 t^{2} + 20 t s + 25 s^{2})

(3 - 3 x)^{2}

- \frac{9}{6}

\frac{25}{225}

\frac{1}{2}

(sin (x)) (- sin (x))

What is factor 64t^3-125s^3 ?
The solution to factor 64t^3-125s^3 is (4t-5s)(16t^2+20ts+25s^2)