Multiply the radical expressions. $$\left( \frac { 1 } { 3 } \sqrt { x } - \frac { 3 } { 2 } \sqrt { y } \right) ^ { 2 }$$

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To solve this, we square the given expression: $\left( \frac { 1 } { 3 } \sqrt { x } - \frac { 3 } { 2 } \sqrt { y } \right) ^ { 2 }$. This involves squaring each term and multiplying the cross terms twice: $\left(\frac{1}{3}\sqrt{x}\right)^2 + 2\left(\frac{1}{3}\sqrt{x}\right)\left(-\frac{3}{2}\sqrt{y}\right) + \left(-\frac{3}{2}\sqrt{y}\right)^2$, which simplifies to $\frac{1}{9}x - \frac{6}{6}\sqrt{xy} + \frac{9}{4}y$, or $\frac{1}{9}x - \sqrt{xy} + \frac{9}{4}y$.

Multiply the Radical Expressions (13x−32y)2\left( \frac { 1 } { 3 } \sqrt { x } - \frac { 3 } { 2 } \sqrt { y } \right) ^ { 2 }(31​x​−23​y​)2

Multiply the Radical Expressions $\left( \frac { 1 } { 3 } \sqrt { x } - \frac { 3 } { 2 } \sqrt { y } \right) ^ { 2 }$