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 Sum 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})

\frac{10 m ^{6} n ^{3}}{5 m ^{2} n ^{7}}

(\frac{7 ^{- 1}}{2 ^{- 1} + 3 ^{- 1} + 6 ^{- 1}})^{- 2}

96 - 48 m n^{2} + 144 n^{3}

\frac{6 x}{4} - \frac{3}{4} = \frac{6 x}{7} + \frac{2}{5}

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

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