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Popular >

factor 125x^3-27x^3

Solution

factor

125 x^{3} - 27 x^{3}

Solution

98 x^{3}

Solution steps

125 x^{3} - 27 x^{3}

Rewrite

125 x^{3}

as

(5 x)^{3}

Rewrite

27 x^{3}

as

(3 x)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(5 x - 3 x) ((5 x)^{2} + 3 x \cdot 5 x + (3 x)^{2}) : 98 x^{3}

= 98 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 125x^3-27x^3 ?
The solution to factor 125x^3-27x^3 is 98x^3