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We can multiply the polynomials $\left(3x^2-5x\right)\left(2x^3+4x^2-x+2\right)$ 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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$\begin{matrix}(F\times F)\:=\:(3x^2)(2x^3)\\(O\times O)\:=\:(3x^2)(4x^2-x+2)\\(I\times I)\:=\:(-5x)(2x^3)\\(L\times L)\:=\:(-5x)(4x^2-x+2)\end{matrix}$
Learn how to solve problems step by step online. Expand the expression (3x^2-5x)(2x^3+4x^2-x+2). We can multiply the polynomials \left(3x^2-5x\right)\left(2x^3+4x^2-x+2\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. Multiplying polynomials 3x^2 and 4x^2-x+2.