What is factor 27x^3-w^3 ?

The solution to factor 27x^3-w^3 is (3x-w)(9x^2+3xw+w^2)

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factor 27x^3-w^3

factor

27 x^{3} - w^{3}

(3 x - w) (9 x^{2} + 3 x w + w^{2})

Solution steps

27 x^{3} - w^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 x)^{2} + 3 x w + w^{2} : 9 x^{2} + 3 x w + w^{2}

= (3 x - w) (9 x^{2} + 3 x w + w^{2})

\frac{1}{2} \cdot \frac{3}{6}

4 - 18

x y 27 x^{5} y^{6}

\frac{5}{12} + (- \frac{11}{20})

\frac{10 x}{2 x}

What is factor 27x^3-w^3 ?
The solution to factor 27x^3-w^3 is (3x-w)(9x^2+3xw+w^2)