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We can multiply the polynomials $\left(2x-3y-z+5\right)\left(2x-3y+z-5\right)$ 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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$\begin{matrix}(F\times F)\:=\:(2x)(2x)\\(O\times O)\:=\:(2x)(-3y+z-5)\\(I\times I)\:=\:(-3y-z+5)(2x)\\(L\times L)\:=\:(-3y-z+5)(-3y+z-5)\end{matrix}$
Learn how to solve problems step by step online. Solve the product (2x-3y-z+5)(2x-3yz+-5). We can multiply the polynomials \left(2x-3y-z+5\right)\left(2x-3y+z-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 2x\cdot 2x+2x\left(-3y+z-5\right)+\left(-3y-z+5\right)2x+\left(-3y-z+5\right)\left(-3y+z-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).