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We can multiply the polynomials $\left(2x-1\right)\left(4x+1\right)$ 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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$\begin{matrix}(F\times F)\:=\:(2x)(4x)\\(O\times O)\:=\:(2x)(1)\\(I\times I)\:=\:(-1)(4x)\\(L\times L)\:=\:(-1)(1)\end{matrix}$
Learn how to solve special products problems step by step online. Expand the expression (2x-1)(4x+1). We can multiply the polynomials \left(2x-1\right)\left(4x+1\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 -1 times 1.