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We can multiply the polynomials $\left(x^2-x-1\right)\left(x^2+x-1\right)$ 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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$\begin{matrix}(F\times F)\:=\:(x^2)(x^2)\\(O\times O)\:=\:(x^2)(x-1)\\(I\times I)\:=\:(-x-1)(x^2)\\(L\times L)\:=\:(-x-1)(x-1)\end{matrix}$
Learn how to solve problems step by step online. Solve the product (x^2-x+-1)(x^2+x+-1). We can multiply the polynomials \left(x^2-x-1\right)\left(x^2+x-1\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 x^2\cdot x^2+x^2\left(x-1\right)+\left(-x-1\right)x^2+\left(-x-1\right)\left(x-1\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).