What is factor 216x^3-y^3 ?

The solution to factor 216x^3-y^3 is (6x-y)(36x^2+6xy+y^2)

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factor 216x^3-y^3

factor

216 x^{3} - y^{3}

(6 x - y) (36 x^{2} + 6 x y + y^{2})

Solution steps

216 x^{3} - y^{3}

Apply exponent rules

= (6 x)^{3} - y^{3}

Apply Difference of Cubes Formula:

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

(6 x)^{3} - y^{3} = (6 x - y) ((6 x)^{2} + 6 x y + y^{2})

= (6 x - y) ((6 x)^{2} + 6 x y + y^{2})

Simplify

(6 x)^{2} + 6 x y + y^{2} : 36 x^{2} + 6 x y + y^{2}

= (6 x - y) (36 x^{2} + 6 x y + y^{2})

1 7^{4}

- \frac{4 x}{4 x}

(\frac{- 2}{3})^{- 2}

x^{2} + 3 x + 2 x + 6

- 2 x^{2} + 5 x + 10 + (- 7) x - 3

What is factor 216x^3-y^3 ?
The solution to factor 216x^3-y^3 is (6x-y)(36x^2+6xy+y^2)