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