Question

PLS, DAU COROANA calculați (2•³√3 + ³√2)³ =​

Answer 1

Răspuns:

$\boxed{\bf 26 + 12 \sqrt[3]{18} + 6 \sqrt[3]{12} }$

Explicație pas cu pas:

$\bf{(2 \times \sqrt[3]{3} + \sqrt[3]{2} ) {}^{3} = (2 \sqrt[3]{3} ) {}^{3} + 3 \times (2 \sqrt[3]{3} ) {}^{2} \times \sqrt[3]{2} + 3 \times 2 \sqrt[3]{3} \times (\sqrt[3]{2} ) {}^{2} + (\sqrt[3]{2} ) {}^{3} }$

$\bf{8 \times 3 + 3 \times 4 \sqrt[3]{9} \sqrt[3]{2} + 3 \times 2 \sqrt[3]{3} \sqrt[3]{4} + 2 }$

$\bf{24 + 12 \sqrt[3]{18} + 6 \sqrt[3]{12} + 2 =\boxed{\bf 26 + 12\sqrt[3]{18} + 6 \sqrt[3]{12} } }$

La inceputul exercitiului m-am folosit de formula (a+b)³=a³+3a²b+3ab²+b³

Daca esti de pe telefon, te rog gliseaza spre dreapta pentru a vedea rezolvarea completa

Bafta ! :)