What is factor 8x^3+y^9 ?

The solution to factor 8x^3+y^9 is (2x+y^3)(4x^2-2xy^3+y^6)

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factor 8x^3+y^9

factor

8 x^{3} + y^{9}

(2 x + y^{3}) (4 x^{2} - 2 x y^{3} + y^{6})

Solution steps

8 x^{3} + y^{9}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 x)^{2} - 2 x y^{3} + (y^{3})^{2} : 4 x^{2} - 2 x y^{3} + y^{6}

= (2 x + y^{3}) (4 x^{2} - 2 x y^{3} + y^{6})

2 - 4 x < 5 x + 1 \leq 7

3^{n + 2} + (3^{n + 3} - 3^{n + 1})

a \cdot a

\frac{6 x}{27} = 43

\frac{8}{3} \cdot 5

What is factor 8x^3+y^9 ?
The solution to factor 8x^3+y^9 is (2x+y^3)(4x^2-2xy^3+y^6)