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We can multiply the polynomials $\left(a-2b+1\right)\left(a-2b+5\right)$ 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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$\begin{matrix}(F\times F)\:=\:(a)(a)\\(O\times O)\:=\:(a)(-2b+5)\\(I\times I)\:=\:(-2b+1)(a)\\(L\times L)\:=\:(-2b+1)(-2b+5)\end{matrix}$
Learn how to solve special products problems step by step online. Solve the product (a-2b+1)(a-2b+5). We can multiply the polynomials \left(a-2b+1\right)\left(a-2b+5\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(-2b+5\right)+\left(-2b+1\right)a+\left(-2b+1\right)\left(-2b+5\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).