Example

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

Question

$$( \sqrt{ 3x+ } \sqrt{ 2x } )( \sqrt{ 3x } - \sqrt{ 2x } )$$

Answer

sqrt(5*x)*(sqrt(3*x)-sqrt(2*x))

Solution


Remove parentheses.
\[\sqrt{3x+}\sqrt{2x}(\sqrt{3x}-\sqrt{2x})\]
Simplify.
\[\sqrt{3x+\times 2x}(\sqrt{3x}-\sqrt{2x})\]
Simplify  \(\times 2x\)  to  \(2x\).
\[\sqrt{3x+2x}(\sqrt{3x}-\sqrt{2x})\]
Simplify  \(3x+2x\)  to  \(5x\).
\[\sqrt{5x}(\sqrt{3x}-\sqrt{2x})\]
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