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Popular >

factor 125x^3-216x^3

Solution

factor

125 x^{3} - 216 x^{3}

Solution

- 91 x^{3}

Solution steps

125 x^{3} - 216 x^{3}

Rewrite

125 x^{3}

as

(5 x)^{3}

Rewrite

216 x^{3}

as

(6 x)^{3}

= (5 x)^{3} - (6 x)^{3}

Apply Difference of Cubes Formula:

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

(5 x)^{3} - (6 x)^{3} = (5 x - 6 x) ((5 x)^{2} + 6 x 5 x + (6 x)^{2})

= (5 x - 6 x) ((6 x)^{2} + 6 x 5 x + (5 x)^{2})

Simplify

(5 x - 6 x) ((5 x)^{2} + 6 x \cdot 5 x + (6 x)^{2}) : - 91 x^{3}

= - 91 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 125x^3-216x^3 ?
The solution to factor 125x^3-216x^3 is -91x^3