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We can multiply the polynomials $\left(\frac{2}{3}+x\right)\left(\frac{1}{3}-x\right)$ 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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$\begin{matrix}(F\times F)\:=\:(x)(-x)\\(O\times O)\:=\:(x)(\frac{1}{3})\\(I\times I)\:=\:(\frac-x\frac{1}{3})(-x)\\(L\times L)\:=\:(\frac-x\frac{1}{3})(\frac{1}{3})\end{matrix}$
Learn how to solve special products problems step by step online. Expand the expression (2/3+x)(1/3-x). We can multiply the polynomials \left(\frac{2}{3}+x\right)\left(\frac{1}{3}-x\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. Multiply \frac{2}{3} times \frac{1}{3}.