What is factor x^3y^3+512 ?

The solution to factor x^3y^3+512 is (xy+8)(x^2y^2-8xy+64)

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factor x^3y^3+512

factor

x^{3} y^{3} + 512

(x y + 8) (x^{2} y^{2} - 8 x y + 64)

Solution steps

x^{3} y^{3} + 512

Apply exponent rules

= (x y)^{3} + 8^{3}

Apply Sum of Cubes Formula:

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

(x y)^{3} + 8^{3} = (x y + 8) ((x y)^{2} - 8 x y + 8^{2})

= (x y + 8) ((x y)^{2} - 8 x y + 8^{2})

Simplify

(x y)^{2} - 8 x y + 8^{2} : x^{2} y^{2} - 8 x y + 64

= (x y + 8) (x^{2} y^{2} - 8 x y + 64)

50 x - 24 \geq 276

\frac{3 - 10 i}{- 5 i}

27 c^{2} + 108 c + 108 = 0

\frac{24 !}{4 ! ( 24 - 4 ) !}

\frac{- 5 + x}{- 3} = - 5

What is factor x^3y^3+512 ?
The solution to factor x^3y^3+512 is (xy+8)(x^2y^2-8xy+64)