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 Difference 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})

2 x^{3} - x^{2} - 12 x + 6

4 x - 2 x - 3 = 9

\frac{m + 1}{3 m - 15} \cdot \frac{8 m - 80}{m ^{2} - 9 m - 10}

\frac{4 + i}{3 i}

2 x^{2} = 450

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)