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Popular >

factor 27x^3-64x^3

Solution

factor

27 x^{3} - 64 x^{3}

Solution

- 37 x^{3}

Solution steps

27 x^{3} - 64 x^{3}

Rewrite

27 x^{3}

as

(3 x)^{3}

Rewrite

64 x^{3}

as

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

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 x - 2^{2} x) ((3 x)^{2} + 3 x \cdot 2^{2} x + (2^{2} x)^{2}) : - 37 x^{3}

= - 37 x^{3}

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Frequently Asked Questions (FAQ)

What is factor 27x^3-64x^3 ?
The solution to factor 27x^3-64x^3 is -37x^3