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We can multiply the polynomials $\left(3x^2-5x+1\right)\left(-8x-5\right)+\left(-4x^2-5x+2\right)\left(6x-5\right)$ 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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$\begin{matrix}(F\times F)\:=\:(3x^2)(-8x)\\(O\times O)\:=\:(3x^2)(-5)\\(I\times I)\:=\:(-5x+1)(-8x)\\(L\times L)\:=\:(-5x+1)(-5)\end{matrix}$
Learn how to solve special products problems step by step online. Expand the expression (3x^2-5x+1)(-8x-5)+(-4x^2-5x+2)(6x-5). We can multiply the polynomials \left(3x^2-5x+1\right)\left(-8x-5\right)+\left(-4x^2-5x+2\right)\left(6x-5\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. We can multiply the polynomials 3x^2\left(-8x\right)-5\cdot 3x^2+\left(-5x+1\right)\left(-8x\right)-5\left(-5x+1\right)+\left(-4x^2-5x+2\right)\left(6x-5\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).