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

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

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factor 8x^6-y^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

5 + \frac{8}{3}

3 x + \frac{x}{2}

- 5200 + 596 + 2128

- 700

8 x^{3} - 8

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