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Solve the product of difference of squares $\left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right)$
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$x-\left(3\sqrt{y}\right)^2$
Learn how to solve problems step by step online. Solve the product (x^1/2+3y^1/2)(x^1/2-3y^1/2). Solve the product of difference of squares \left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 3^2. Simplify \left(\sqrt{x}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 2.