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(a+b)(a-b) Expansion and Visualisation

Evaluate : ...

Question

Evaluate :
${(\sqrt{3} + \sqrt{2})}^{6} - {(\sqrt{3} - \sqrt{2})}^{6}$

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Solution

$= ((\sqrt{3} + \sqrt{2})^{6}) - ((\sqrt{3} - \sqrt{2}))^{6})$

$= (3.14626)^{6} - (0.3178)^{6}$

$= 969.998 - 0.00103$

$= 969.996.$

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