Final answer to the problem
Step-by-step Solution
Specify the solving method
We can multiply the polynomials $\left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$)
Learn how to solve special products problems step by step online.
$\begin{matrix}(F\times F)\:=\:(\sqrt{x})(\sqrt{x})\\(O\times O)\:=\:(\sqrt{x})(-3\sqrt{y})\\(I\times I)\:=\:(3\sqrt{y})(\sqrt{x})\\(L\times L)\:=\:(3\sqrt{y})(-3\sqrt{y})\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (x^1/2+3y^1/2)(x^1/2-3y^1/2). We can multiply the polynomials \left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right) by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First (F\times F), Outer by Outer (O\times O), Inner by Inner (I\times I), Last by Last (L\times L). Then, combine the four terms in a sum. Substitute the values of the products. When multiplying exponents with same base we can add the exponents.