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We can multiply the polynomials $\left(-2x+2\right)\left(x^4+4x^3+6x^2+4x+1\right)+\left(x^2-2x-3\right)\left(4x^3+12x^2+12x+4\right)$ 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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$\begin{matrix}(F\times F)\:=\:(-2x)(x^4)\\(O\times O)\:=\:(-2x)(4x^3+6x^2+4x+1)\\(I\times I)\:=\:(2)(x^4)\\(L\times L)\:=\:(2)(4x^3+6x^2+4x+1)\end{matrix}$
Learn how to solve problems step by step online. Expand the expression (-2x+2)(x^4+4x^36x^24x+1)+(x^2-2x+-3)(4x^3+12x^212x+4). We can multiply the polynomials \left(-2x+2\right)\left(x^4+4x^3+6x^2+4x+1\right)+\left(x^2-2x-3\right)\left(4x^3+12x^2+12x+4\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 -2x\cdot x^4-2x\left(4x^3+6x^2+4x+1\right)+2x^4+2\left(4x^3+6x^2+4x+1\right)+\left(x^2-2x-3\right)\left(4x^3+12x^2+12x+4\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).