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

The solution to factor x^3-27y^3 is (x-3y)(x^2+3xy+9y^2)

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factor x^3-27y^3

factor

x^{3} - 27 y^{3}

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

Solution steps

x^{3} - 27 y^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

x^{2} + x \cdot 3 y + (3 y)^{2} : x^{2} + 3 x y + 9 y^{2}

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

- 294

\frac{10 !}{( 10 - 3 ) ! 3 !}

x^{2} + 3 x < 1 - x

- (\frac{4}{3})^{3}

5 x^{2} y - 20 y

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