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Apply the formula: $a+b$$=\left(\sqrt[3]{a}+\sqrt[3]{\left|b\right|}\right)\left(\sqrt[3]{a^{2}}-\sqrt[3]{a}\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right)$, where $a=27m^3$ and $b=-125n^3$
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$\frac{\left(\sqrt[3]{27m^3}+\sqrt[3]{125n^3}\right)\left(\sqrt[3]{\left(27m^3\right)^{2}}-\sqrt[3]{27m^3}\sqrt[3]{125n^3}+\sqrt[3]{\left(125n^3\right)^{2}}\right)}{3m-5n}$
Learn how to solve divisione lunga polinomiale problems step by step online. (27m^3-125n^3)/(3m-5n). Apply the formula: a+b=\left(\sqrt[3]{a}+\sqrt[3]{\left|b\right|}\right)\left(\sqrt[3]{a^{2}}-\sqrt[3]{a}\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right), where a=27m^3 and b=-125n^3. Apply the formula: \left(ab\right)^n=a^nb^n, where a=27, b=m^3 and n=\frac{1}{3}. Apply the formula: a^b=a^b, where a=27, b=\frac{1}{3} and a^b=\sqrt[3]{27}. Apply the formula: \left(ab\right)^n=a^nb^n, where a=125, b=n^3 and n=\frac{1}{3}.