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We can multiply the polynomials $\left(1_5x^{\left(2m+1\right)}+3_7y^{\left(m-3\right)}\right)\left(1_5x^{\left(2m+1\right)}- 3_7y^{\left(m-3\right)}\right)$ 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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$\begin{matrix}(F\times F)\:=\:(1_5x^{\left(2m+1\right)})(1_5x^{\left(2m+1\right)})\\(O\times O)\:=\:(1_5x^{\left(2m+1\right)})(- 3_7y^{\left(m-3\right)})\\(I\times I)\:=\:(3_7y^{\left(m-3\right)})(1_5x^{\left(2m+1\right)})\\(L\times L)\:=\:(3_7y^{\left(m-3\right)})(- 3_7y^{\left(m-3\right)})\end{matrix}$
Learn how to solve problems step by step online. Solve the product (1_5x^(2m+1)+3_7y^(m-3))(1_5x^(2m+1)-3_7y^(m-3)). We can multiply the polynomials \left(1_5x^{\left(2m+1\right)}+3_7y^{\left(m-3\right)}\right)\left(1_5x^{\left(2m+1\right)}- 3_7y^{\left(m-3\right)}\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.