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

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

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

simplify

\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}

(1 + \frac{k}{n})^{2} - (1 + \frac{k}{n})

- 4 (2 + m) < - 4

b^{3} - 4 b^{2} - 3 b + 12

∣ - 3 x + 4 ∣ - 4 < - 1

4 u^{3} + 5 u^{2} + 8 u + 10