What is factor s^3-8m^3 ?

The solution to factor s^3-8m^3 is (s-2m)(s^2+4m^2+2ms)

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factor s^3-8m^3

factor

s^{3} - 8 m^{3}

(s - 2 m) (s^{2} + 4 m^{2} + 2 m s)

Solution steps

s^{3} - 8 m^{3}

Apply exponent rules

= s^{3} - (2 m)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

s^{2} + s \cdot 2 m + (2 m)^{2} : s^{2} + 2 s m + 4 m^{2}

= (s - 2 m) (s^{2} + 2 s m + 4 m^{2})

= (s - 2 m) (s^{2} + 4 m^{2} + 2 m s)

\frac{3}{8} \times 6

2 c + c - c

- 0.7 (n + 3) - 0.3 n

\frac{625}{100}

(5 z - x)^{5}

What is factor s^3-8m^3 ?
The solution to factor s^3-8m^3 is (s-2m)(s^2+4m^2+2ms)