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We can multiply the polynomials $\left(a^2-2a+3\right)\left(a^2+2a+3\right)$ 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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$\begin{matrix}(F\times F)\:=\:(a^2)(a^2)\\(O\times O)\:=\:(a^2)(2a+3)\\(I\times I)\:=\:(-2a+3)(a^2)\\(L\times L)\:=\:(-2a+3)(2a+3)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (a^2-2a+3)(a^2+2a+3). We can multiply the polynomials \left(a^2-2a+3\right)\left(a^2+2a+3\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 a^2\cdot a^2+a^2\left(2a+3\right)+\left(-2a+3\right)a^2+\left(-2a+3\right)\left(2a+3\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).