What is factor 8x^9+(x-y)^6 ?

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

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factor 8x^9+(x-y)^6

factor

8 x^{9} + (x - y)^{6}

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

Solution steps

8 x^{9} + (x - y)^{6}

Rewrite

8 x^{9} + (x - y)^{6}

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

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

\frac{3}{4} \cdot \frac{7}{5}

\frac{6 - 7 i}{4 + i}

- 2 ∣ 4 - 2 x ∣ + 9 = 6

(2 a^{2} + 5 a)^{2} - 10 (2 a^{2} + 5 a) - 24

5 x^{2} - 3 = 7 x

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