What is factor (x^3+y^3)/(x+y) ?

The solution to factor (x^3+y^3)/(x+y) is x^2-xy+y^2

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factor (x^3+y^3)/(x+y)

factor

\frac{x ^{3} + y ^{3}}{x + y}

x^{2} - x y + y^{2}

Solution steps

\frac{x ^{3} + y ^{3}}{x + y}

Apply Sum of Cubes Formula:

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

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

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

Cancel the common factor:

x + y

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

a x + a y + a z + x + y + z

x + 2 2 x y + 2 y

(m - 2)^{3} + (m + 5)^{3}

2 m x - 20 n y - 8 n x + 5 m y

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