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Exercise

$-ab^{\frac{1}{3}}-a^{\frac{2}{3}}b^{\frac{2}{3}}-a^{\frac{1}{3}}b$

Step-by-step Solution

1

Factor the polynomial $-a\sqrt[3]{b}-\sqrt[3]{a^{2}}\sqrt[3]{b^{2}}-\sqrt[3]{a}b$ by it's greatest common factor (GCF): $-1$

$-\left(a\sqrt[3]{b}+\sqrt[3]{a^{2}}\sqrt[3]{b^{2}}+\sqrt[3]{a}b\right)$

Final answer to the exercise

$-\left(a\sqrt[3]{b}+\sqrt[3]{a^{2}}\sqrt[3]{b^{2}}+\sqrt[3]{a}b\right)$

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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