Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(3+ \sqrt{ 3) } (3- \sqrt{ 3 } )$$

Answer

6

Solution


Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[{3}^{2}-{\sqrt{3}}^{2}\]
Simplify  \({3}^{2}\)  to  \(9\).
\[9-{\sqrt{3}}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[9-3\]
Simplify.
\[6\]
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