What is factor 8w^3-125 ?

The solution to factor 8w^3-125 is (2w-5)(4w^2+10w+25)

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factor 8w^3-125

factor

8 w^{3} - 125

(2 w - 5) (4 w^{2} + 10 w + 25)

Solution steps

8 w^{3} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(2 w - 5) (2^{2} w^{2} + 5 \cdot 2 w + 5^{2}) : (2 w - 5) (4 w^{2} + 10 w + 25)

= (2 w - 5) (4 w^{2} + 10 w + 25)

(8^{\frac{3}{4}} + 2^{3})^{\frac{1}{2}}

3 x^{2} - 5 x - 2 \leq 0

u^{4} - u^{2} v^{2} - 20 v^{4}

t^{2} - 49 = 0

\frac{1}{\frac{1}{20} + \frac{1}{10}}

What is factor 8w^3-125 ?
The solution to factor 8w^3-125 is (2w-5)(4w^2+10w+25)