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Popular >

factor 8x^3-125x^3

Solution

factor

8 x^{3} - 125 x^{3}

Solution

- 117 x^{3}

Solution steps

8 x^{3} - 125 x^{3}

Rewrite

8 x^{3}

as

(2 x)^{3}

Rewrite

125 x^{3}

as

(5 x)^{3}

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

Apply Difference of Cubes Formula:

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

(2 x)^{3} - (5 x)^{3} = (2 x - 5 x) ((2 x)^{2} + 2 x 5 x + (5 x)^{2})

= (2 x - 5 x) ((2 x)^{2} + 2 x 5 x + (5 x)^{2})

Simplify

(2 x - 5 x) ((2 x)^{2} + 2 x \cdot 5 x + (5 x)^{2}) : - 117 x^{3}

= - 117 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 8x^3-125x^3 ?
The solution to factor 8x^3-125x^3 is -117x^3