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