\(A=\dfrac{3}{3a-1}\cdot\sqrt{5a^4\left(9a^2-6a+1\right)}\)
\(=\dfrac{3}{3a-1}\cdot a^2\sqrt{5}\cdot\left|3a-1\right|\)
\(=\pm3a^2\sqrt{5}\)
\(B=\sqrt{4^2\cdot x}-\sqrt{7^2\cdot x}-\sqrt{15^2\cdot x^2\cdot x}+\sqrt{12^2\cdot x\cdot y^2}\)
\(=4\sqrt{x}-7\sqrt{x}-15\left|x\right|\cdot\sqrt{x}+12\cdot\left|y\right|\cdot\sqrt{x}\)
\(=-3\sqrt{x}+\sqrt{x}\left(12\left|y\right|-15\left|x\right|\right)\)
\(=\sqrt{x}\left(-3+12\left|y\right|-15\left|x\right|\right)\)
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