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

The solution to ((a^3+b^3))/((a+b)) is a^2-ab+b^2

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

simplify

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

a^{2} - ab + b^{2}

Solution steps

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

Apply Sum of Cubes Formula:

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

a^{3} + b^{3} = (a + b) (a^{2} - ab + b^{2})

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

Cancel the common factor:

a + b

= a^{2} - ab + b^{2}

5 x^{4} + 10 x^{3} - 75 x^{2}

2 cos (\frac{3 a}{2}) (cos^{2} (a) + sin^{2} (a))

3 cos (x) - 6 sin^{2} (t) (cos (t))

2 x \cdot 32

\frac{1}{( x ^{2} + y ^{2} )}