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Popular >

factor 8x^3-27x^3

Solution

factor

8 x^{3} - 27 x^{3}

Solution

- 19 x^{3}

Solution steps

8 x^{3} - 27 x^{3}

Rewrite

8 x^{3}

as

(2 x)^{3}

Rewrite

27 x^{3}

as

(3 x)^{3}

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(2 x - 3 x) ((2 x)^{2} + 3 x \cdot 2 x + (3 x)^{2}) : - 19 x^{3}

= - 19 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 8x^3-27x^3 ?
The solution to factor 8x^3-27x^3 is -19x^3