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What is the following sum?

What Is The Following Sum class=

Sagot :

Answer:

8x^3y^4(∛xy)

First option

Step-by-step explanation:

[tex]\sqrt[3]{125x^{10}y^{13}}+\sqrt[3]{27x^{10}y^{13}}\\\\\sqrt[3]{125x^{10}y^{13}} = 5x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\\sqrt[3]{27x^{10}y^{13}} = 3x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\=5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\mathrm{Add\:similar\:elements:}\:\\5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\=8x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\\[/tex]