What is (\sqrt[3]{2}a-sqrt(2)b)^2 ?

The solution to (\sqrt[3]{2}a-sqrt(2)b)^2 is \sqrt[3]{2^2}a^2-\sqrt[6]{2^5}*2ab+2b^2

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simplify (\sqrt[3]{2}a-sqrt(2)b)^2

simplify

Solution steps

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

Simplify

= 2^{\frac{2}{3}} a^{2} - 2 \cdot 2^{\frac{5}{6}} ab + 2 b^{2}

= 2^{\frac{2}{3}} a^{2} - 2^{\frac{5}{6}} \cdot 2 ab + 2 b^{2}

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(cos (x) + i sin (x))^{4}

What is (\sqrt[3]{2}a-sqrt(2)b)^2 ?
The solution to (\sqrt[3]{2}a-sqrt(2)b)^2 is \sqrt[3]{2^2}a^2-\sqrt[6]{2^5}*2ab+2b^2