What is (a^3-b^3)/(a^2+ab+b^2) ?

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

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simplify (a^3-b^3)/(a^2+ab+b^2)

simplify

\frac{a ^{3} - b ^{3}}{a ^{2} + ab + b ^{2}}

a - b

Solution steps

\frac{a ^{3} - b ^{3}}{a ^{2} + ab + b ^{2}}

Apply Difference 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 ^{2} + ab + b ^{2}}

Cancel the common factor:

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

= a - b

\frac{128}{12}

\frac{1}{2} lo g_{2} (28)

\frac{3}{2} - \frac{2}{4}

\frac{a}{b} - c

\frac{6 - 32}{2}