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

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

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factor x^3+8y^6

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

2 \frac{1}{4} \div \frac{3}{8}

(2 - 8 i)^{2}

2 x^{2} + 19 x + 42

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