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

The solution to ((x^3+a^3))/((x+a)) is x^2-xa+a^2

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

simplify

\frac{( x ^{3} + a ^{3} )}{( x + a )}

x^{2} - x a + a^{2}

Solution steps

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

Apply Sum of Cubes Formula:

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

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

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

Cancel the common factor:

x + a

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

- (- 3 y + 4.1)

(2 x - 1)^{2} + 8 (2 x - 1) + 12

u^{2} - 9

\frac{9}{6} \cdot \frac{4}{5}

2 (a + 1)^{2} - 3