\(2\sqrt{2\left(a-1\right)^3}.5\sqrt{\dfrac{a-1}{2}}=10\sqrt{\left(a-1\right)^4}=10\left(a-1\right)^2\)
\(10\sqrt{2\left(a+1\right)^3}.3\sqrt{\dfrac{1}{2\left(a+1\right)}}=30\sqrt{\left(a+1\right)^2}=30\left|a+1\right|=30\left(a+1\right)\)
\(3\sqrt{\dfrac{3}{20}\left(2a-1\right)^3}.3\sqrt{\dfrac{15}{2a-1}}=9\sqrt{\dfrac{9}{4}\left(2a-1\right)^2}=9.\dfrac{3}{2}\left|2a-1\right|=\dfrac{27}{2}\left(2a-1\right)\)
\(2\sqrt{\dfrac{\left(a-2\right)^3}{100}}.3\sqrt{\dfrac{a-2}{4}}=6\sqrt{\dfrac{\left(a-2\right)^4}{400}}=\dfrac{6}{10}\left(a-2\right)^2=\dfrac{3}{5}\left(a-2\right)^2\)
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