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We can multiply the polynomials $\left(2\sqrt{x}+4\sqrt{y}\right)\left(2\sqrt{x}-4\sqrt{y}\right)$ 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 ($L\times L$)
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$\begin{matrix}(F\times F)\:=\:(2\sqrt{x})(2\sqrt{x})\\(O\times O)\:=\:(2\sqrt{x})(-4\sqrt{y})\\(I\times I)\:=\:(4\sqrt{y})(2\sqrt{x})\\(L\times L)\:=\:(4\sqrt{y})(-4\sqrt{y})\end{matrix}$
Learn how to solve differential calculus problems step by step online. Solve the product (2x^1/2+4y^1/2)(2x^1/2-4y^1/2). We can multiply the polynomials \left(2\sqrt{x}+4\sqrt{y}\right)\left(2\sqrt{x}-4\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.