What is factor 1/125 x^3+27y^3 ?

The solution to factor 1/125 x^3+27y^3 is (x/5+3y)((x^2}{25}-\frac{3xy)/5+9y^2)

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factor 1/125 x^3+27y^3

factor

\frac{1}{125} x^{3} + 27 y^{3}

(\frac{x}{5} + 3 y) (\frac{x ^{2}}{25} - \frac{3 x y}{5} + 9 y^{2})

Solution steps

\frac{1}{125} x^{3} + 27 y^{3}

Factor

\frac{x ^{3}}{125} + 27 y^{3} : (\frac{x}{5} + 3 y) ((\frac{1}{5})^{2} x^{2} - 3 \cdot \frac{1}{5} x y + 3^{2} y^{2})

= (\frac{x}{5} + 3 y) ((\frac{1}{5})^{2} x^{2} - 3 \cdot \frac{1}{5} x y + 3^{2} y^{2})

Simplify

(\frac{x}{5} + 3 y) ((\frac{1}{5})^{2} x^{2} - 3 \cdot \frac{1}{5} x y + 3^{2} y^{2}) : (\frac{x}{5} + 3 y) (\frac{x ^{2}}{25} - \frac{3 x y}{5} + 9 y^{2})

= (\frac{x}{5} + 3 y) (\frac{x ^{2}}{25} - \frac{3 x y}{5} + 9 y^{2})

\frac{1}{2} x + \frac{3}{4} (2 - x) = 5

\frac{2}{4 ^{- 1}}

\frac{- 2 + 3 i}{( 4 + 2 i ) ( - 1 + i )}

- 2 z - 2 \geq 8

What is factor 1/125 x^3+27y^3 ?
The solution to factor 1/125 x^3+27y^3 is (x/5+3y)((x^2}{25}-\frac{3xy)/5+9y^2)