What is factor 8x^3+y^6 ?

The solution to factor 8x^3+y^6 is (2x+y^2)(4x^2-2xy^2+y^4)

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factor 8x^3+y^6

factor

8 x^{3} + y^{6}

(2 x + y^{2}) (4 x^{2} - 2 x y^{2} + y^{4})

Solution steps

8 x^{3} + y^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 x)^{2} - 2 x y^{2} + (y^{2})^{2} : 4 x^{2} - 2 x y^{2} + y^{4}

= (2 x + y^{2}) (4 x^{2} - 2 x y^{2} + y^{4})

(9 c^{- 9})^{- 3}

a^{- 1} + 1

\frac{9 x ^{2} - 1}{6 x ^{2} + 5 x + 1}

(\frac{1 - 1}{x ^{2}})^{- 1}

6 x^{10} - 96 x^{2}

What is factor 8x^3+y^6 ?
The solution to factor 8x^3+y^6 is (2x+y^2)(4x^2-2xy^2+y^4)