What is factor (a^3+b^3)^{1/3} ?

The solution to factor (a^3+b^3)^{1/3} is (a+b)^{1/3}(a^2-ab+b^2)^{1/3}

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factor (a^3+b^3)^{1/3}

factor

(a^{3} + b^{3})^{\frac{1}{3}}

(a + b)^{\frac{1}{3}} (a^{2} - ab + b^{2})^{\frac{1}{3}}

Solution steps

(a^{3} + b^{3})^{\frac{1}{3}}

Factor

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

= ((a + b) (a^{2} - ab + b^{2}))^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

((a + b) (a^{2} - ab + b^{2}))^{\frac{1}{3}} = (a + b)^{\frac{1}{3}} (a^{2} - ab + b^{2})^{\frac{1}{3}}

= (a + b)^{\frac{1}{3}} (a^{2} - ab + b^{2})^{\frac{1}{3}}

- \frac{1}{6} - (- \frac{3}{5})

\frac{2 p}{9} + \frac{5 p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}

- 8 x^{3} - 30 x^{2} < 18 x

4. 8^{2}

3 x^{2} - 18 x - 21 = 0

What is factor (a^3+b^3)^{1/3} ?
The solution to factor (a^3+b^3)^{1/3} is (a+b)^{1/3}(a^2-ab+b^2)^{1/3}