What is factor 125w^3-u^3 ?

The solution to factor 125w^3-u^3 is (5w-u)(25w^2+5wu+u^2)

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factor 125w^3-u^3

factor

125 w^{3} - u^{3}

(5 w - u) (25 w^{2} + 5 w u + u^{2})

Solution steps

125 w^{3} - u^{3}

Apply exponent rules

= (5 w)^{3} - u^{3}

Apply Difference of Cubes Formula:

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

(5 w)^{3} - u^{3} = (5 w - u) ((5 w)^{2} + 5 w u + u^{2})

= (5 w - u) ((5 w)^{2} + 5 w u + u^{2})

Simplify

(5 w)^{2} + 5 w u + u^{2} : 25 w^{2} + 5 w u + u^{2}

= (5 w - u) (25 w^{2} + 5 w u + u^{2})

- 1^{- \frac{2}{3}}

x^{3} - 6 x^{2} + 37 x - 58

lo g_{10} (\frac{1}{10000})

x^{1} \cdot x^{- 1}

1.06

What is factor 125w^3-u^3 ?
The solution to factor 125w^3-u^3 is (5w-u)(25w^2+5wu+u^2)